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Finding the Fourth Proportional to 2,015.55, 2,781.14 and 1,229.85

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Solution

The fourth proportional to 2,015.55, 2,781.14 and 1,229.85 is: 1,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.55 : 2,781.14 = 1,229.85 : x
  2. Step 2: Convert to fraction form
    2,015.55/2,781.14 = 1,229.85/x
  3. Step 3: Cross multiply
    2,015.55x = 2,781.14 × 1,229.85
  4. Step 4: Simplify right side
    2,015.55x = 3,420,378.88
  5. Step 5: Solve for x
    x = 3,420,378.88/2,015.55
  6. Step 6: Final answer
    x = 1,697.00

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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.