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Finding the Fourth Proportional to 2,058.27, 3,086.58 and 871.83

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Solution

The fourth proportional to 2,058.27, 3,086.58 and 871.83 is: 1,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.27 : 3,086.58 = 871.83 : x
  2. Step 2: Convert to fraction form
    2,058.27/3,086.58 = 871.83/x
  3. Step 3: Cross multiply
    2,058.27x = 3,086.58 × 871.83
  4. Step 4: Simplify right side
    2,058.27x = 2,690,973.04
  5. Step 5: Solve for x
    x = 2,690,973.04/2,058.27
  6. Step 6: Final answer
    x = 1,307.40

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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.