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Finding the Fourth Proportional to 2,948.43, 4,421.13 and 868.17

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Solution

The fourth proportional to 2,948.43, 4,421.13 and 868.17 is: 1,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.43 : 4,421.13 = 868.17 : x
  2. Step 2: Convert to fraction form
    2,948.43/4,421.13 = 868.17/x
  3. Step 3: Cross multiply
    2,948.43x = 4,421.13 × 868.17
  4. Step 4: Simplify right side
    2,948.43x = 3,838,277.04
  5. Step 5: Solve for x
    x = 3,838,277.04/2,948.43
  6. Step 6: Final answer
    x = 1,301.80

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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.