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Finding the Fourth Proportional to 2,349.06, 3,523.32 and 961.44

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Solution

The fourth proportional to 2,349.06, 3,523.32 and 961.44 is: 1,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.06 : 3,523.32 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,349.06/3,523.32 = 961.44/x
  3. Step 3: Cross multiply
    2,349.06x = 3,523.32 × 961.44
  4. Step 4: Simplify right side
    2,349.06x = 3,387,460.78
  5. Step 5: Solve for x
    x = 3,387,460.78/2,349.06
  6. Step 6: Final answer
    x = 1,442.05

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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.