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Finding the Fourth Proportional to 2,353.92, 3,248.58 and 1,306.20

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Solution

The fourth proportional to 2,353.92, 3,248.58 and 1,306.20 is: 1,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.92 : 3,248.58 = 1,306.20 : x
  2. Step 2: Convert to fraction form
    2,353.92/3,248.58 = 1,306.20/x
  3. Step 3: Cross multiply
    2,353.92x = 3,248.58 × 1,306.20
  4. Step 4: Simplify right side
    2,353.92x = 4,243,295.20
  5. Step 5: Solve for x
    x = 4,243,295.20/2,353.92
  6. Step 6: Final answer
    x = 1,802.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.