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Finding the Fourth Proportional to 2,542.48, 3,809.40 and 1,773.52

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Solution

The fourth proportional to 2,542.48, 3,809.40 and 1,773.52 is: 2,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.48 : 3,809.40 = 1,773.52 : x
  2. Step 2: Convert to fraction form
    2,542.48/3,809.40 = 1,773.52/x
  3. Step 3: Cross multiply
    2,542.48x = 3,809.40 × 1,773.52
  4. Step 4: Simplify right side
    2,542.48x = 6,756,047.09
  5. Step 5: Solve for x
    x = 6,756,047.09/2,542.48
  6. Step 6: Final answer
    x = 2,657.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.