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Finding the Fourth Proportional to 2,082.16, 3,120.54 and 986.86

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Solution

The fourth proportional to 2,082.16, 3,120.54 and 986.86 is: 1,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.16 : 3,120.54 = 986.86 : x
  2. Step 2: Convert to fraction form
    2,082.16/3,120.54 = 986.86/x
  3. Step 3: Cross multiply
    2,082.16x = 3,120.54 × 986.86
  4. Step 4: Simplify right side
    2,082.16x = 3,079,536.10
  5. Step 5: Solve for x
    x = 3,079,536.10/2,082.16
  6. Step 6: Final answer
    x = 1,479.01

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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.