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Finding the Fourth Proportional to 2,100.92, 3,151.74 and 946.04

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Solution

The fourth proportional to 2,100.92, 3,151.74 and 946.04 is: 1,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.92 : 3,151.74 = 946.04 : x
  2. Step 2: Convert to fraction form
    2,100.92/3,151.74 = 946.04/x
  3. Step 3: Cross multiply
    2,100.92x = 3,151.74 × 946.04
  4. Step 4: Simplify right side
    2,100.92x = 2,981,672.11
  5. Step 5: Solve for x
    x = 2,981,672.11/2,100.92
  6. Step 6: Final answer
    x = 1,419.22

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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.