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Finding the Fourth Proportional to 2,429.04, 3,643.14 and 868.70

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Solution

The fourth proportional to 2,429.04, 3,643.14 and 868.70 is: 1,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.04 : 3,643.14 = 868.70 : x
  2. Step 2: Convert to fraction form
    2,429.04/3,643.14 = 868.70/x
  3. Step 3: Cross multiply
    2,429.04x = 3,643.14 × 868.70
  4. Step 4: Simplify right side
    2,429.04x = 3,164,795.72
  5. Step 5: Solve for x
    x = 3,164,795.72/2,429.04
  6. Step 6: Final answer
    x = 1,302.90

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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.