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Finding the Fourth Proportional to 2,488.34, 3,734.20 and 1,027.48

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Solution

The fourth proportional to 2,488.34, 3,734.20 and 1,027.48 is: 1,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.34 : 3,734.20 = 1,027.48 : x
  2. Step 2: Convert to fraction form
    2,488.34/3,734.20 = 1,027.48/x
  3. Step 3: Cross multiply
    2,488.34x = 3,734.20 × 1,027.48
  4. Step 4: Simplify right side
    2,488.34x = 3,836,815.82
  5. Step 5: Solve for x
    x = 3,836,815.82/2,488.34
  6. Step 6: Final answer
    x = 1,541.92

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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.