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Finding the Fourth Proportional to 2,567.52, 3,542.40 and 1,782.36

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Solution

The fourth proportional to 2,567.52, 3,542.40 and 1,782.36 is: 2,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.52 : 3,542.40 = 1,782.36 : x
  2. Step 2: Convert to fraction form
    2,567.52/3,542.40 = 1,782.36/x
  3. Step 3: Cross multiply
    2,567.52x = 3,542.40 × 1,782.36
  4. Step 4: Simplify right side
    2,567.52x = 6,313,832.06
  5. Step 5: Solve for x
    x = 6,313,832.06/2,567.52
  6. Step 6: Final answer
    x = 2,459.12

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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.