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Finding the Fourth Proportional to 2,429.12, 3,642.78 and 868.70

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Solution

The fourth proportional to 2,429.12, 3,642.78 and 868.70 is: 1,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.12 : 3,642.78 = 868.70 : x
  2. Step 2: Convert to fraction form
    2,429.12/3,642.78 = 868.70/x
  3. Step 3: Cross multiply
    2,429.12x = 3,642.78 × 868.70
  4. Step 4: Simplify right side
    2,429.12x = 3,164,463.14
  5. Step 5: Solve for x
    x = 3,164,463.14/2,429.12
  6. Step 6: Final answer
    x = 1,302.72

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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.