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Finding the Fourth Proportional to 3,242.39, 4,474.24 and 1,826.01

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Solution

The fourth proportional to 3,242.39, 4,474.24 and 1,826.01 is: 2,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.39 : 4,474.24 = 1,826.01 : x
  2. Step 2: Convert to fraction form
    3,242.39/4,474.24 = 1,826.01/x
  3. Step 3: Cross multiply
    3,242.39x = 4,474.24 × 1,826.01
  4. Step 4: Simplify right side
    3,242.39x = 8,170,002.42
  5. Step 5: Solve for x
    x = 8,170,002.42/3,242.39
  6. Step 6: Final answer
    x = 2,519.75

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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.