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Finding the Fourth Proportional to 2,082.65, 3,124.39 and 986.42

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Solution

The fourth proportional to 2,082.65, 3,124.39 and 986.42 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.65 : 3,124.39 = 986.42 : x
  2. Step 2: Convert to fraction form
    2,082.65/3,124.39 = 986.42/x
  3. Step 3: Cross multiply
    2,082.65x = 3,124.39 × 986.42
  4. Step 4: Simplify right side
    2,082.65x = 3,081,966.13
  5. Step 5: Solve for x
    x = 3,081,966.13/2,082.65
  6. Step 6: Final answer
    x = 1,479.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.