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Finding the Fourth Proportional to 4,114.46, 6,171.56 and 1,648.62

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Solution

The fourth proportional to 4,114.46, 6,171.56 and 1,648.62 is: 2,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.46 : 6,171.56 = 1,648.62 : x
  2. Step 2: Convert to fraction form
    4,114.46/6,171.56 = 1,648.62/x
  3. Step 3: Cross multiply
    4,114.46x = 6,171.56 × 1,648.62
  4. Step 4: Simplify right side
    4,114.46x = 10,174,549.00
  5. Step 5: Solve for x
    x = 10,174,549.00/4,114.46
  6. Step 6: Final answer
    x = 2,472.87

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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.