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Finding the Fourth Proportional to 2,428.70, 3,640.31 and 966.14

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Solution

The fourth proportional to 2,428.70, 3,640.31 and 966.14 is: 1,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.70 : 3,640.31 = 966.14 : x
  2. Step 2: Convert to fraction form
    2,428.70/3,640.31 = 966.14/x
  3. Step 3: Cross multiply
    2,428.70x = 3,640.31 × 966.14
  4. Step 4: Simplify right side
    2,428.70x = 3,517,043.35
  5. Step 5: Solve for x
    x = 3,517,043.35/2,428.70
  6. Step 6: Final answer
    x = 1,448.12

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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.