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Finding the Fourth Proportional to 2,481.53, 3,424.02 and 1,597.20

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Solution

The fourth proportional to 2,481.53, 3,424.02 and 1,597.20 is: 2,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.53 : 3,424.02 = 1,597.20 : x
  2. Step 2: Convert to fraction form
    2,481.53/3,424.02 = 1,597.20/x
  3. Step 3: Cross multiply
    2,481.53x = 3,424.02 × 1,597.20
  4. Step 4: Simplify right side
    2,481.53x = 5,468,844.74
  5. Step 5: Solve for x
    x = 5,468,844.74/2,481.53
  6. Step 6: Final answer
    x = 2,203.82

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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.