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Finding the Fourth Proportional to 1,471.92, 2,196.87 and 1,447.62

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Solution

The fourth proportional to 1,471.92, 2,196.87 and 1,447.62 is: 2,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.92 : 2,196.87 = 1,447.62 : x
  2. Step 2: Convert to fraction form
    1,471.92/2,196.87 = 1,447.62/x
  3. Step 3: Cross multiply
    1,471.92x = 2,196.87 × 1,447.62
  4. Step 4: Simplify right side
    1,471.92x = 3,180,225.71
  5. Step 5: Solve for x
    x = 3,180,225.71/1,471.92
  6. Step 6: Final answer
    x = 2,160.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.