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Finding the Fourth Proportional to 2,448.53, 3,657.30 and 2,306.37

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Solution

The fourth proportional to 2,448.53, 3,657.30 and 2,306.37 is: 3,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.53 : 3,657.30 = 2,306.37 : x
  2. Step 2: Convert to fraction form
    2,448.53/3,657.30 = 2,306.37/x
  3. Step 3: Cross multiply
    2,448.53x = 3,657.30 × 2,306.37
  4. Step 4: Simplify right side
    2,448.53x = 8,435,105.04
  5. Step 5: Solve for x
    x = 8,435,105.04/2,448.53
  6. Step 6: Final answer
    x = 3,444.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.