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Finding the Fourth Proportional to 2,429.14, 3,642.68 and 869.55

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Solution

The fourth proportional to 2,429.14, 3,642.68 and 869.55 is: 1,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.14 : 3,642.68 = 869.55 : x
  2. Step 2: Convert to fraction form
    2,429.14/3,642.68 = 869.55/x
  3. Step 3: Cross multiply
    2,429.14x = 3,642.68 × 869.55
  4. Step 4: Simplify right side
    2,429.14x = 3,167,469.83
  5. Step 5: Solve for x
    x = 3,167,469.83/2,429.14
  6. Step 6: Final answer
    x = 1,303.95

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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.