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Finding the Fourth Proportional to 1,559.42, 2,150.03 and 998.88

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Solution

The fourth proportional to 1,559.42, 2,150.03 and 998.88 is: 1,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.42 : 2,150.03 = 998.88 : x
  2. Step 2: Convert to fraction form
    1,559.42/2,150.03 = 998.88/x
  3. Step 3: Cross multiply
    1,559.42x = 2,150.03 × 998.88
  4. Step 4: Simplify right side
    1,559.42x = 2,147,616.97
  5. Step 5: Solve for x
    x = 2,147,616.97/1,559.42
  6. Step 6: Final answer
    x = 1,377.19

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