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Finding the Fourth Proportional to 2,974.38, 4,463.10 and 1,416.15

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Solution

The fourth proportional to 2,974.38, 4,463.10 and 1,416.15 is: 2,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.38 : 4,463.10 = 1,416.15 : x
  2. Step 2: Convert to fraction form
    2,974.38/4,463.10 = 1,416.15/x
  3. Step 3: Cross multiply
    2,974.38x = 4,463.10 × 1,416.15
  4. Step 4: Simplify right side
    2,974.38x = 6,320,419.07
  5. Step 5: Solve for x
    x = 6,320,419.07/2,974.38
  6. Step 6: Final answer
    x = 2,124.95

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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.