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Finding the Fourth Proportional to 2,488.32, 3,431.97 and 1,826.55

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Solution

The fourth proportional to 2,488.32, 3,431.97 and 1,826.55 is: 2,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.32 : 3,431.97 = 1,826.55 : x
  2. Step 2: Convert to fraction form
    2,488.32/3,431.97 = 1,826.55/x
  3. Step 3: Cross multiply
    2,488.32x = 3,431.97 × 1,826.55
  4. Step 4: Simplify right side
    2,488.32x = 6,268,664.80
  5. Step 5: Solve for x
    x = 6,268,664.80/2,488.32
  6. Step 6: Final answer
    x = 2,519.24

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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.