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Finding the Fourth Proportional to 2,516.74, 3,774.52 and 956.92

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Solution

The fourth proportional to 2,516.74, 3,774.52 and 956.92 is: 1,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.74 : 3,774.52 = 956.92 : x
  2. Step 2: Convert to fraction form
    2,516.74/3,774.52 = 956.92/x
  3. Step 3: Cross multiply
    2,516.74x = 3,774.52 × 956.92
  4. Step 4: Simplify right side
    2,516.74x = 3,611,913.68
  5. Step 5: Solve for x
    x = 3,611,913.68/2,516.74
  6. Step 6: Final answer
    x = 1,435.16

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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.