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Finding the Fourth Proportional to 2,120.27, 3,177.63 and 886.19

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Solution

The fourth proportional to 2,120.27, 3,177.63 and 886.19 is: 1,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.27 : 3,177.63 = 886.19 : x
  2. Step 2: Convert to fraction form
    2,120.27/3,177.63 = 886.19/x
  3. Step 3: Cross multiply
    2,120.27x = 3,177.63 × 886.19
  4. Step 4: Simplify right side
    2,120.27x = 2,815,968.04
  5. Step 5: Solve for x
    x = 2,815,968.04/2,120.27
  6. Step 6: Final answer
    x = 1,328.12

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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.