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Finding the Fourth Proportional to 3,240.42, 4,472.01 and 1,824.24

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Solution

The fourth proportional to 3,240.42, 4,472.01 and 1,824.24 is: 2,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.42 : 4,472.01 = 1,824.24 : x
  2. Step 2: Convert to fraction form
    3,240.42/4,472.01 = 1,824.24/x
  3. Step 3: Cross multiply
    3,240.42x = 4,472.01 × 1,824.24
  4. Step 4: Simplify right side
    3,240.42x = 8,158,019.52
  5. Step 5: Solve for x
    x = 8,158,019.52/3,240.42
  6. Step 6: Final answer
    x = 2,517.58

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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.