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Finding the Fourth Proportional to 2,195.60, 3,031.18 and 1,449.28

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Solution

The fourth proportional to 2,195.60, 3,031.18 and 1,449.28 is: 2,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.60 : 3,031.18 = 1,449.28 : x
  2. Step 2: Convert to fraction form
    2,195.60/3,031.18 = 1,449.28/x
  3. Step 3: Cross multiply
    2,195.60x = 3,031.18 × 1,449.28
  4. Step 4: Simplify right side
    2,195.60x = 4,393,028.55
  5. Step 5: Solve for x
    x = 4,393,028.55/2,195.60
  6. Step 6: Final answer
    x = 2,000.83

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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.