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Finding the Fourth Proportional to 2,348.58, 3,523.06 and 961.44

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Solution

The fourth proportional to 2,348.58, 3,523.06 and 961.44 is: 1,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.58 : 3,523.06 = 961.44 : x
  2. Step 2: Convert to fraction form
    2,348.58/3,523.06 = 961.44/x
  3. Step 3: Cross multiply
    2,348.58x = 3,523.06 × 961.44
  4. Step 4: Simplify right side
    2,348.58x = 3,387,210.81
  5. Step 5: Solve for x
    x = 3,387,210.81/2,348.58
  6. Step 6: Final answer
    x = 1,442.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.