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Finding the Fourth Proportional to 2,339.09, 3,508.36 and 951.02

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Solution

The fourth proportional to 2,339.09, 3,508.36 and 951.02 is: 1,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.09 : 3,508.36 = 951.02 : x
  2. Step 2: Convert to fraction form
    2,339.09/3,508.36 = 951.02/x
  3. Step 3: Cross multiply
    2,339.09x = 3,508.36 × 951.02
  4. Step 4: Simplify right side
    2,339.09x = 3,336,520.53
  5. Step 5: Solve for x
    x = 3,336,520.53/2,339.09
  6. Step 6: Final answer
    x = 1,426.42

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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.