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Finding the Fourth Proportional to 2,348.60, 3,522.90 and 961.94

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Solution

The fourth proportional to 2,348.60, 3,522.90 and 961.94 is: 1,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.60 : 3,522.90 = 961.94 : x
  2. Step 2: Convert to fraction form
    2,348.60/3,522.90 = 961.94/x
  3. Step 3: Cross multiply
    2,348.60x = 3,522.90 × 961.94
  4. Step 4: Simplify right side
    2,348.60x = 3,388,800.81
  5. Step 5: Solve for x
    x = 3,388,800.81/2,348.60
  6. Step 6: Final answer
    x = 1,442.91

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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.