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Finding the Fourth Proportional to 2,304.52, 3,456.78 and 1,987.41

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Solution

The fourth proportional to 2,304.52, 3,456.78 and 1,987.41 is: 2,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.52 : 3,456.78 = 1,987.41 : x
  2. Step 2: Convert to fraction form
    2,304.52/3,456.78 = 1,987.41/x
  3. Step 3: Cross multiply
    2,304.52x = 3,456.78 × 1,987.41
  4. Step 4: Simplify right side
    2,304.52x = 6,870,039.14
  5. Step 5: Solve for x
    x = 6,870,039.14/2,304.52
  6. Step 6: Final answer
    x = 2,981.12

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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.