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Finding the Fourth Proportional to 2,298.17, 3,447.46 and 737.61

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Solution

The fourth proportional to 2,298.17, 3,447.46 and 737.61 is: 1,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.17 : 3,447.46 = 737.61 : x
  2. Step 2: Convert to fraction form
    2,298.17/3,447.46 = 737.61/x
  3. Step 3: Cross multiply
    2,298.17x = 3,447.46 × 737.61
  4. Step 4: Simplify right side
    2,298.17x = 2,542,868.96
  5. Step 5: Solve for x
    x = 2,542,868.96/2,298.17
  6. Step 6: Final answer
    x = 1,106.47

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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.