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Finding the Fourth Proportional to 2,473.92, 3,711.96 and 830.70

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Solution

The fourth proportional to 2,473.92, 3,711.96 and 830.70 is: 1,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.92 : 3,711.96 = 830.70 : x
  2. Step 2: Convert to fraction form
    2,473.92/3,711.96 = 830.70/x
  3. Step 3: Cross multiply
    2,473.92x = 3,711.96 × 830.70
  4. Step 4: Simplify right side
    2,473.92x = 3,083,525.17
  5. Step 5: Solve for x
    x = 3,083,525.17/2,473.92
  6. Step 6: Final answer
    x = 1,246.41

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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.