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Finding the Fourth Proportional to 2,698.31, 4,048.65 and 1,138.73

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Solution

The fourth proportional to 2,698.31, 4,048.65 and 1,138.73 is: 1,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.31 : 4,048.65 = 1,138.73 : x
  2. Step 2: Convert to fraction form
    2,698.31/4,048.65 = 1,138.73/x
  3. Step 3: Cross multiply
    2,698.31x = 4,048.65 × 1,138.73
  4. Step 4: Simplify right side
    2,698.31x = 4,610,298.97
  5. Step 5: Solve for x
    x = 4,610,298.97/2,698.31
  6. Step 6: Final answer
    x = 1,708.59

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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.