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Finding the Fourth Proportional to 2,306.92, 3,457.30 and 844.68

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Solution

The fourth proportional to 2,306.92, 3,457.30 and 844.68 is: 1,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.92 : 3,457.30 = 844.68 : x
  2. Step 2: Convert to fraction form
    2,306.92/3,457.30 = 844.68/x
  3. Step 3: Cross multiply
    2,306.92x = 3,457.30 × 844.68
  4. Step 4: Simplify right side
    2,306.92x = 2,920,312.16
  5. Step 5: Solve for x
    x = 2,920,312.16/2,306.92
  6. Step 6: Final answer
    x = 1,265.89

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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.