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Finding the Fourth Proportional to 2,312.92, 3,470.46 and 1,446.76

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Solution

The fourth proportional to 2,312.92, 3,470.46 and 1,446.76 is: 2,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.92 : 3,470.46 = 1,446.76 : x
  2. Step 2: Convert to fraction form
    2,312.92/3,470.46 = 1,446.76/x
  3. Step 3: Cross multiply
    2,312.92x = 3,470.46 × 1,446.76
  4. Step 4: Simplify right side
    2,312.92x = 5,020,922.71
  5. Step 5: Solve for x
    x = 5,020,922.71/2,312.92
  6. Step 6: Final answer
    x = 2,170.82

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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.