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Finding the Fourth Proportional to 2,943.68, 4,414.61 and 1,301.61

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Solution

The fourth proportional to 2,943.68, 4,414.61 and 1,301.61 is: 1,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.68 : 4,414.61 = 1,301.61 : x
  2. Step 2: Convert to fraction form
    2,943.68/4,414.61 = 1,301.61/x
  3. Step 3: Cross multiply
    2,943.68x = 4,414.61 × 1,301.61
  4. Step 4: Simplify right side
    2,943.68x = 5,746,103.78
  5. Step 5: Solve for x
    x = 5,746,103.78/2,943.68
  6. Step 6: Final answer
    x = 1,952.01

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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.