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Finding the Fourth Proportional to 2,055.71, 3,079.16 and 884.18

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Solution

The fourth proportional to 2,055.71, 3,079.16 and 884.18 is: 1,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.71 : 3,079.16 = 884.18 : x
  2. Step 2: Convert to fraction form
    2,055.71/3,079.16 = 884.18/x
  3. Step 3: Cross multiply
    2,055.71x = 3,079.16 × 884.18
  4. Step 4: Simplify right side
    2,055.71x = 2,722,538.28
  5. Step 5: Solve for x
    x = 2,722,538.28/2,055.71
  6. Step 6: Final answer
    x = 1,324.38

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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.