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Finding the Fourth Proportional to 2,567.70, 3,851.55 and 2,243.70

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Solution

The fourth proportional to 2,567.70, 3,851.55 and 2,243.70 is: 3,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.70 : 3,851.55 = 2,243.70 : x
  2. Step 2: Convert to fraction form
    2,567.70/3,851.55 = 2,243.70/x
  3. Step 3: Cross multiply
    2,567.70x = 3,851.55 × 2,243.70
  4. Step 4: Simplify right side
    2,567.70x = 8,641,722.74
  5. Step 5: Solve for x
    x = 8,641,722.74/2,567.70
  6. Step 6: Final answer
    x = 3,365.55

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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.