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Finding the Fourth Proportional to 3,100.53, 4,648.57 and 1,456.17

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Solution

The fourth proportional to 3,100.53, 4,648.57 and 1,456.17 is: 2,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.53 : 4,648.57 = 1,456.17 : x
  2. Step 2: Convert to fraction form
    3,100.53/4,648.57 = 1,456.17/x
  3. Step 3: Cross multiply
    3,100.53x = 4,648.57 × 1,456.17
  4. Step 4: Simplify right side
    3,100.53x = 6,769,108.18
  5. Step 5: Solve for x
    x = 6,769,108.18/3,100.53
  6. Step 6: Final answer
    x = 2,183.21

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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.