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Finding the Fourth Proportional to 1,680.43, 2,519.64 and 986.77

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Solution

The fourth proportional to 1,680.43, 2,519.64 and 986.77 is: 1,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.43 : 2,519.64 = 986.77 : x
  2. Step 2: Convert to fraction form
    1,680.43/2,519.64 = 986.77/x
  3. Step 3: Cross multiply
    1,680.43x = 2,519.64 × 986.77
  4. Step 4: Simplify right side
    1,680.43x = 2,486,305.16
  5. Step 5: Solve for x
    x = 2,486,305.16/1,680.43
  6. Step 6: Final answer
    x = 1,479.56

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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.