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Finding the Fourth Proportional to 2,516.47, 3,772.96 and 956.58

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Solution

The fourth proportional to 2,516.47, 3,772.96 and 956.58 is: 1,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.47 : 3,772.96 = 956.58 : x
  2. Step 2: Convert to fraction form
    2,516.47/3,772.96 = 956.58/x
  3. Step 3: Cross multiply
    2,516.47x = 3,772.96 × 956.58
  4. Step 4: Simplify right side
    2,516.47x = 3,609,138.08
  5. Step 5: Solve for x
    x = 3,609,138.08/2,516.47
  6. Step 6: Final answer
    x = 1,434.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.