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Finding the Fourth Proportional to 2,119.17, 3,178.36 and 886.24

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Solution

The fourth proportional to 2,119.17, 3,178.36 and 886.24 is: 1,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.17 : 3,178.36 = 886.24 : x
  2. Step 2: Convert to fraction form
    2,119.17/3,178.36 = 886.24/x
  3. Step 3: Cross multiply
    2,119.17x = 3,178.36 × 886.24
  4. Step 4: Simplify right side
    2,119.17x = 2,816,789.77
  5. Step 5: Solve for x
    x = 2,816,789.77/2,119.17
  6. Step 6: Final answer
    x = 1,329.19

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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.