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Finding the Fourth Proportional to 2,567.97, 3,851.95 and 1,983.82

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Solution

The fourth proportional to 2,567.97, 3,851.95 and 1,983.82 is: 2,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.97 : 3,851.95 = 1,983.82 : x
  2. Step 2: Convert to fraction form
    2,567.97/3,851.95 = 1,983.82/x
  3. Step 3: Cross multiply
    2,567.97x = 3,851.95 × 1,983.82
  4. Step 4: Simplify right side
    2,567.97x = 7,641,575.45
  5. Step 5: Solve for x
    x = 7,641,575.45/2,567.97
  6. Step 6: Final answer
    x = 2,975.73

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.