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Finding the Fourth Proportional to 2,297.72, 3,439.74 and 1,473.49

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Solution

The fourth proportional to 2,297.72, 3,439.74 and 1,473.49 is: 2,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.72 : 3,439.74 = 1,473.49 : x
  2. Step 2: Convert to fraction form
    2,297.72/3,439.74 = 1,473.49/x
  3. Step 3: Cross multiply
    2,297.72x = 3,439.74 × 1,473.49
  4. Step 4: Simplify right side
    2,297.72x = 5,068,428.17
  5. Step 5: Solve for x
    x = 5,068,428.17/2,297.72
  6. Step 6: Final answer
    x = 2,205.85

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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.