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Finding the Fourth Proportional to 2,306.72, 3,458.91 and 1,648.19

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Solution

The fourth proportional to 2,306.72, 3,458.91 and 1,648.19 is: 2,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.72 : 3,458.91 = 1,648.19 : x
  2. Step 2: Convert to fraction form
    2,306.72/3,458.91 = 1,648.19/x
  3. Step 3: Cross multiply
    2,306.72x = 3,458.91 × 1,648.19
  4. Step 4: Simplify right side
    2,306.72x = 5,700,940.87
  5. Step 5: Solve for x
    x = 5,700,940.87/2,306.72
  6. Step 6: Final answer
    x = 2,471.45

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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.