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Finding the Fourth Proportional to 1,679.17, 2,519.18 and 986.43

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Solution

The fourth proportional to 1,679.17, 2,519.18 and 986.43 is: 1,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.17 : 2,519.18 = 986.43 : x
  2. Step 2: Convert to fraction form
    1,679.17/2,519.18 = 986.43/x
  3. Step 3: Cross multiply
    1,679.17x = 2,519.18 × 986.43
  4. Step 4: Simplify right side
    1,679.17x = 2,484,989.60
  5. Step 5: Solve for x
    x = 2,484,989.60/1,679.17
  6. Step 6: Final answer
    x = 1,479.89

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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.