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Finding the Fourth Proportional to 2,082.32, 3,122.52 and 986

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Solution

The fourth proportional to 2,082.32, 3,122.52 and 986 is: 1,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.32 : 3,122.52 = 986 : x
  2. Step 2: Convert to fraction form
    2,082.32/3,122.52 = 986/x
  3. Step 3: Cross multiply
    2,082.32x = 3,122.52 × 986
  4. Step 4: Simplify right side
    2,082.32x = 3,078,804.72
  5. Step 5: Solve for x
    x = 3,078,804.72/2,082.32
  6. Step 6: Final answer
    x = 1,478.55

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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.