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Finding the Fourth Proportional to 2,782.98, 4,174.34 and 1,139.12

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Solution

The fourth proportional to 2,782.98, 4,174.34 and 1,139.12 is: 1,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.98 : 4,174.34 = 1,139.12 : x
  2. Step 2: Convert to fraction form
    2,782.98/4,174.34 = 1,139.12/x
  3. Step 3: Cross multiply
    2,782.98x = 4,174.34 × 1,139.12
  4. Step 4: Simplify right side
    2,782.98x = 4,755,074.18
  5. Step 5: Solve for x
    x = 4,755,074.18/2,782.98
  6. Step 6: Final answer
    x = 1,708.63

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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.