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Finding the Fourth Proportional to 2,423.46, 3,634.80 and 961.14

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Solution

The fourth proportional to 2,423.46, 3,634.80 and 961.14 is: 1,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.46 : 3,634.80 = 961.14 : x
  2. Step 2: Convert to fraction form
    2,423.46/3,634.80 = 961.14/x
  3. Step 3: Cross multiply
    2,423.46x = 3,634.80 × 961.14
  4. Step 4: Simplify right side
    2,423.46x = 3,493,551.67
  5. Step 5: Solve for x
    x = 3,493,551.67/2,423.46
  6. Step 6: Final answer
    x = 1,441.56

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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.