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Finding the Fourth Proportional to 2,139.73, 3,208.35 and 1,042.99

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Solution

The fourth proportional to 2,139.73, 3,208.35 and 1,042.99 is: 1,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.73 : 3,208.35 = 1,042.99 : x
  2. Step 2: Convert to fraction form
    2,139.73/3,208.35 = 1,042.99/x
  3. Step 3: Cross multiply
    2,139.73x = 3,208.35 × 1,042.99
  4. Step 4: Simplify right side
    2,139.73x = 3,346,276.97
  5. Step 5: Solve for x
    x = 3,346,276.97/2,139.73
  6. Step 6: Final answer
    x = 1,563.88

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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.