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Finding the Fourth Proportional to 4,171.11, 6,259.13 and 1,540.46

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Solution

The fourth proportional to 4,171.11, 6,259.13 and 1,540.46 is: 2,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.11 : 6,259.13 = 1,540.46 : x
  2. Step 2: Convert to fraction form
    4,171.11/6,259.13 = 1,540.46/x
  3. Step 3: Cross multiply
    4,171.11x = 6,259.13 × 1,540.46
  4. Step 4: Simplify right side
    4,171.11x = 9,641,935.43
  5. Step 5: Solve for x
    x = 9,641,935.43/4,171.11
  6. Step 6: Final answer
    x = 2,311.60

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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.