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Finding the Fourth Proportional to 2,306.96, 3,457.20 and 1,730.24

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Solution

The fourth proportional to 2,306.96, 3,457.20 and 1,730.24 is: 2,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.96 : 3,457.20 = 1,730.24 : x
  2. Step 2: Convert to fraction form
    2,306.96/3,457.20 = 1,730.24/x
  3. Step 3: Cross multiply
    2,306.96x = 3,457.20 × 1,730.24
  4. Step 4: Simplify right side
    2,306.96x = 5,981,785.73
  5. Step 5: Solve for x
    x = 5,981,785.73/2,306.96
  6. Step 6: Final answer
    x = 2,592.93

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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.