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Finding the Fourth Proportional to 2,472.48, 3,678.72 and 2,450.88

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Solution

The fourth proportional to 2,472.48, 3,678.72 and 2,450.88 is: 3,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.48 : 3,678.72 = 2,450.88 : x
  2. Step 2: Convert to fraction form
    2,472.48/3,678.72 = 2,450.88/x
  3. Step 3: Cross multiply
    2,472.48x = 3,678.72 × 2,450.88
  4. Step 4: Simplify right side
    2,472.48x = 9,016,101.27
  5. Step 5: Solve for x
    x = 9,016,101.27/2,472.48
  6. Step 6: Final answer
    x = 3,646.58

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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.