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Finding the Fourth Proportional to 2,337.82, 3,506.39 and 951.19

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Solution

The fourth proportional to 2,337.82, 3,506.39 and 951.19 is: 1,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.82 : 3,506.39 = 951.19 : x
  2. Step 2: Convert to fraction form
    2,337.82/3,506.39 = 951.19/x
  3. Step 3: Cross multiply
    2,337.82x = 3,506.39 × 951.19
  4. Step 4: Simplify right side
    2,337.82x = 3,335,227.95
  5. Step 5: Solve for x
    x = 3,335,227.95/2,337.82
  6. Step 6: Final answer
    x = 1,426.64

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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.