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Finding the Fourth Proportional to 3,115.26, 4,663.04 and 2,003.20

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Solution

The fourth proportional to 3,115.26, 4,663.04 and 2,003.20 is: 2,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.26 : 4,663.04 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    3,115.26/4,663.04 = 2,003.20/x
  3. Step 3: Cross multiply
    3,115.26x = 4,663.04 × 2,003.20
  4. Step 4: Simplify right side
    3,115.26x = 9,340,980.05
  5. Step 5: Solve for x
    x = 9,340,980.05/3,115.26
  6. Step 6: Final answer
    x = 2,998.46

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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.