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Finding the Fourth Proportional to 2,297.18, 3,171.06 and 1,737.83

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Solution

The fourth proportional to 2,297.18, 3,171.06 and 1,737.83 is: 2,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.18 : 3,171.06 = 1,737.83 : x
  2. Step 2: Convert to fraction form
    2,297.18/3,171.06 = 1,737.83/x
  3. Step 3: Cross multiply
    2,297.18x = 3,171.06 × 1,737.83
  4. Step 4: Simplify right side
    2,297.18x = 5,510,743.00
  5. Step 5: Solve for x
    x = 5,510,743.00/2,297.18
  6. Step 6: Final answer
    x = 2,398.92

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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.