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Finding the Fourth Proportional to 2,264.62, 3,397.90 and 948.68

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Solution

The fourth proportional to 2,264.62, 3,397.90 and 948.68 is: 1,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.62 : 3,397.90 = 948.68 : x
  2. Step 2: Convert to fraction form
    2,264.62/3,397.90 = 948.68/x
  3. Step 3: Cross multiply
    2,264.62x = 3,397.90 × 948.68
  4. Step 4: Simplify right side
    2,264.62x = 3,223,519.77
  5. Step 5: Solve for x
    x = 3,223,519.77/2,264.62
  6. Step 6: Final answer
    x = 1,423.43

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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.