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Finding the Fourth Proportional to 2,452.24, 3,679.32 and 991.81

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Solution

The fourth proportional to 2,452.24, 3,679.32 and 991.81 is: 1,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.24 : 3,679.32 = 991.81 : x
  2. Step 2: Convert to fraction form
    2,452.24/3,679.32 = 991.81/x
  3. Step 3: Cross multiply
    2,452.24x = 3,679.32 × 991.81
  4. Step 4: Simplify right side
    2,452.24x = 3,649,186.37
  5. Step 5: Solve for x
    x = 3,649,186.37/2,452.24
  6. Step 6: Final answer
    x = 1,488.10

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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.