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Finding the Fourth Proportional to 2,631.38, 3,948.47 and 987.78

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Solution

The fourth proportional to 2,631.38, 3,948.47 and 987.78 is: 1,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.38 : 3,948.47 = 987.78 : x
  2. Step 2: Convert to fraction form
    2,631.38/3,948.47 = 987.78/x
  3. Step 3: Cross multiply
    2,631.38x = 3,948.47 × 987.78
  4. Step 4: Simplify right side
    2,631.38x = 3,900,214.76
  5. Step 5: Solve for x
    x = 3,900,214.76/2,631.38
  6. Step 6: Final answer
    x = 1,482.20

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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.