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Finding the Fourth Proportional to 1,248.46, 1,872.68 and 974.78

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Solution

The fourth proportional to 1,248.46, 1,872.68 and 974.78 is: 1,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.46 : 1,872.68 = 974.78 : x
  2. Step 2: Convert to fraction form
    1,248.46/1,872.68 = 974.78/x
  3. Step 3: Cross multiply
    1,248.46x = 1,872.68 × 974.78
  4. Step 4: Simplify right side
    1,248.46x = 1,825,441.45
  5. Step 5: Solve for x
    x = 1,825,441.45/1,248.46
  6. Step 6: Final answer
    x = 1,462.15

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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.