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Finding the Fourth Proportional to 2,452.32, 3,673.84 and 1,901.82

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Solution

The fourth proportional to 2,452.32, 3,673.84 and 1,901.82 is: 2,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.32 : 3,673.84 = 1,901.82 : x
  2. Step 2: Convert to fraction form
    2,452.32/3,673.84 = 1,901.82/x
  3. Step 3: Cross multiply
    2,452.32x = 3,673.84 × 1,901.82
  4. Step 4: Simplify right side
    2,452.32x = 6,986,982.39
  5. Step 5: Solve for x
    x = 6,986,982.39/2,452.32
  6. Step 6: Final answer
    x = 2,849.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.