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Finding the Fourth Proportional to 1,918.59, 2,647.65 and 1,079.29

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Solution

The fourth proportional to 1,918.59, 2,647.65 and 1,079.29 is: 1,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.59 : 2,647.65 = 1,079.29 : x
  2. Step 2: Convert to fraction form
    1,918.59/2,647.65 = 1,079.29/x
  3. Step 3: Cross multiply
    1,918.59x = 2,647.65 × 1,079.29
  4. Step 4: Simplify right side
    1,918.59x = 2,857,589.53
  5. Step 5: Solve for x
    x = 2,857,589.53/1,918.59
  6. Step 6: Final answer
    x = 1,489.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.