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Finding the Fourth Proportional to 2,948.27, 4,423.01 and 868.10

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Solution

The fourth proportional to 2,948.27, 4,423.01 and 868.10 is: 1,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.27 : 4,423.01 = 868.10 : x
  2. Step 2: Convert to fraction form
    2,948.27/4,423.01 = 868.10/x
  3. Step 3: Cross multiply
    2,948.27x = 4,423.01 × 868.10
  4. Step 4: Simplify right side
    2,948.27x = 3,839,588.53
  5. Step 5: Solve for x
    x = 3,839,588.53/2,948.27
  6. Step 6: Final answer
    x = 1,302.32

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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.