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Finding the Fourth Proportional to 2,414.20, 3,619.08 and 953

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Solution

The fourth proportional to 2,414.20, 3,619.08 and 953 is: 1,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.20 : 3,619.08 = 953 : x
  2. Step 2: Convert to fraction form
    2,414.20/3,619.08 = 953/x
  3. Step 3: Cross multiply
    2,414.20x = 3,619.08 × 953
  4. Step 4: Simplify right side
    2,414.20x = 3,448,983.24
  5. Step 5: Solve for x
    x = 3,448,983.24/2,414.20
  6. Step 6: Final answer
    x = 1,428.62

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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.