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Finding the Fourth Proportional to 2,348.13, 3,522.12 and 961.08

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Solution

The fourth proportional to 2,348.13, 3,522.12 and 961.08 is: 1,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.13 : 3,522.12 = 961.08 : x
  2. Step 2: Convert to fraction form
    2,348.13/3,522.12 = 961.08/x
  3. Step 3: Cross multiply
    2,348.13x = 3,522.12 × 961.08
  4. Step 4: Simplify right side
    2,348.13x = 3,385,039.09
  5. Step 5: Solve for x
    x = 3,385,039.09/2,348.13
  6. Step 6: Final answer
    x = 1,441.59

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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.