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Finding the Fourth Proportional to 2,366.14, 3,265.32 and 1,318.24

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Solution

The fourth proportional to 2,366.14, 3,265.32 and 1,318.24 is: 1,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.14 : 3,265.32 = 1,318.24 : x
  2. Step 2: Convert to fraction form
    2,366.14/3,265.32 = 1,318.24/x
  3. Step 3: Cross multiply
    2,366.14x = 3,265.32 × 1,318.24
  4. Step 4: Simplify right side
    2,366.14x = 4,304,475.44
  5. Step 5: Solve for x
    x = 4,304,475.44/2,366.14
  6. Step 6: Final answer
    x = 1,819.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.