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Finding the Fourth Proportional to 2,348.70, 3,523.08 and 961.74

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Solution

The fourth proportional to 2,348.70, 3,523.08 and 961.74 is: 1,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.70 : 3,523.08 = 961.74 : x
  2. Step 2: Convert to fraction form
    2,348.70/3,523.08 = 961.74/x
  3. Step 3: Cross multiply
    2,348.70x = 3,523.08 × 961.74
  4. Step 4: Simplify right side
    2,348.70x = 3,388,286.96
  5. Step 5: Solve for x
    x = 3,388,286.96/2,348.70
  6. Step 6: Final answer
    x = 1,442.62

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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.