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Finding the Fourth Proportional to 2,892.78, 4,318.23 and 2,542.47

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Solution

The fourth proportional to 2,892.78, 4,318.23 and 2,542.47 is: 3,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.78 : 4,318.23 = 2,542.47 : x
  2. Step 2: Convert to fraction form
    2,892.78/4,318.23 = 2,542.47/x
  3. Step 3: Cross multiply
    2,892.78x = 4,318.23 × 2,542.47
  4. Step 4: Simplify right side
    2,892.78x = 10,978,970.23
  5. Step 5: Solve for x
    x = 10,978,970.23/2,892.78
  6. Step 6: Final answer
    x = 3,795.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.