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Finding the Fourth Proportional to 2,567.32, 3,542.23 and 1,572.23

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Solution

The fourth proportional to 2,567.32, 3,542.23 and 1,572.23 is: 2,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.32 : 3,542.23 = 1,572.23 : x
  2. Step 2: Convert to fraction form
    2,567.32/3,542.23 = 1,572.23/x
  3. Step 3: Cross multiply
    2,567.32x = 3,542.23 × 1,572.23
  4. Step 4: Simplify right side
    2,567.32x = 5,569,192.41
  5. Step 5: Solve for x
    x = 5,569,192.41/2,567.32
  6. Step 6: Final answer
    x = 2,169.27

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