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Finding the Fourth Proportional to 2,567.97, 3,544.16 and 1,903.77

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Solution

The fourth proportional to 2,567.97, 3,544.16 and 1,903.77 is: 2,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.97 : 3,544.16 = 1,903.77 : x
  2. Step 2: Convert to fraction form
    2,567.97/3,544.16 = 1,903.77/x
  3. Step 3: Cross multiply
    2,567.97x = 3,544.16 × 1,903.77
  4. Step 4: Simplify right side
    2,567.97x = 6,747,255.96
  5. Step 5: Solve for x
    x = 6,747,255.96/2,567.97
  6. Step 6: Final answer
    x = 2,627.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.