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Finding the Fourth Proportional to 2,546.24, 3,513.84 and 1,442.24

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Solution

The fourth proportional to 2,546.24, 3,513.84 and 1,442.24 is: 1,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.24 : 3,513.84 = 1,442.24 : x
  2. Step 2: Convert to fraction form
    2,546.24/3,513.84 = 1,442.24/x
  3. Step 3: Cross multiply
    2,546.24x = 3,513.84 × 1,442.24
  4. Step 4: Simplify right side
    2,546.24x = 5,067,800.60
  5. Step 5: Solve for x
    x = 5,067,800.60/2,546.24
  6. Step 6: Final answer
    x = 1,990.31

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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.