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Finding the Fourth Proportional to 1,519.66, 2,274.63 and 1,079.83

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Solution

The fourth proportional to 1,519.66, 2,274.63 and 1,079.83 is: 1,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.66 : 2,274.63 = 1,079.83 : x
  2. Step 2: Convert to fraction form
    1,519.66/2,274.63 = 1,079.83/x
  3. Step 3: Cross multiply
    1,519.66x = 2,274.63 × 1,079.83
  4. Step 4: Simplify right side
    1,519.66x = 2,456,213.71
  5. Step 5: Solve for x
    x = 2,456,213.71/1,519.66
  6. Step 6: Final answer
    x = 1,616.29

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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.