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Finding the Fourth Proportional to 2,687.42, 3,707.97 and 2,058.66

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Solution

The fourth proportional to 2,687.42, 3,707.97 and 2,058.66 is: 2,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.42 : 3,707.97 = 2,058.66 : x
  2. Step 2: Convert to fraction form
    2,687.42/3,707.97 = 2,058.66/x
  3. Step 3: Cross multiply
    2,687.42x = 3,707.97 × 2,058.66
  4. Step 4: Simplify right side
    2,687.42x = 7,633,449.52
  5. Step 5: Solve for x
    x = 7,633,449.52/2,687.42
  6. Step 6: Final answer
    x = 2,840.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.