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Finding the Fourth Proportional to 2,447.70, 3,665.94 and 1,471.92

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Solution

The fourth proportional to 2,447.70, 3,665.94 and 1,471.92 is: 2,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.70 : 3,665.94 = 1,471.92 : x
  2. Step 2: Convert to fraction form
    2,447.70/3,665.94 = 1,471.92/x
  3. Step 3: Cross multiply
    2,447.70x = 3,665.94 × 1,471.92
  4. Step 4: Simplify right side
    2,447.70x = 5,395,970.40
  5. Step 5: Solve for x
    x = 5,395,970.40/2,447.70
  6. Step 6: Final answer
    x = 2,204.51

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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.