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Finding the Fourth Proportional to 2,339.71, 3,506.53 and 951.43

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Solution

The fourth proportional to 2,339.71, 3,506.53 and 951.43 is: 1,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.71 : 3,506.53 = 951.43 : x
  2. Step 2: Convert to fraction form
    2,339.71/3,506.53 = 951.43/x
  3. Step 3: Cross multiply
    2,339.71x = 3,506.53 × 951.43
  4. Step 4: Simplify right side
    2,339.71x = 3,336,213.08
  5. Step 5: Solve for x
    x = 3,336,213.08/2,339.71
  6. Step 6: Final answer
    x = 1,425.91

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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.