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Finding the Fourth Proportional to 2,429.23, 3,642.95 and 868.81

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Solution

The fourth proportional to 2,429.23, 3,642.95 and 868.81 is: 1,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.23 : 3,642.95 = 868.81 : x
  2. Step 2: Convert to fraction form
    2,429.23/3,642.95 = 868.81/x
  3. Step 3: Cross multiply
    2,429.23x = 3,642.95 × 868.81
  4. Step 4: Simplify right side
    2,429.23x = 3,165,031.39
  5. Step 5: Solve for x
    x = 3,165,031.39/2,429.23
  6. Step 6: Final answer
    x = 1,302.89

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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.