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Finding the Fourth Proportional to 2,139.72, 3,208.34 and 1,042.98

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Solution

The fourth proportional to 2,139.72, 3,208.34 and 1,042.98 is: 1,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.72 : 3,208.34 = 1,042.98 : x
  2. Step 2: Convert to fraction form
    2,139.72/3,208.34 = 1,042.98/x
  3. Step 3: Cross multiply
    2,139.72x = 3,208.34 × 1,042.98
  4. Step 4: Simplify right side
    2,139.72x = 3,346,234.45
  5. Step 5: Solve for x
    x = 3,346,234.45/2,139.72
  6. Step 6: Final answer
    x = 1,563.87

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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.