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Finding the Fourth Proportional to 1,591.88, 2,388.42 and 618.05

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Solution

The fourth proportional to 1,591.88, 2,388.42 and 618.05 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.88 : 2,388.42 = 618.05 : x
  2. Step 2: Convert to fraction form
    1,591.88/2,388.42 = 618.05/x
  3. Step 3: Cross multiply
    1,591.88x = 2,388.42 × 618.05
  4. Step 4: Simplify right side
    1,591.88x = 1,476,168.95
  5. Step 5: Solve for x
    x = 1,476,168.95/1,591.88
  6. Step 6: Final answer
    x = 927.31

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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.