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Finding the Fourth Proportional to 2,542.54, 3,508.14 and 1,610.50

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Solution

The fourth proportional to 2,542.54, 3,508.14 and 1,610.50 is: 2,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.54 : 3,508.14 = 1,610.50 : x
  2. Step 2: Convert to fraction form
    2,542.54/3,508.14 = 1,610.50/x
  3. Step 3: Cross multiply
    2,542.54x = 3,508.14 × 1,610.50
  4. Step 4: Simplify right side
    2,542.54x = 5,649,859.47
  5. Step 5: Solve for x
    x = 5,649,859.47/2,542.54
  6. Step 6: Final answer
    x = 2,222.13

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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.