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Finding the Fourth Proportional to 1,589.97, 2,385.11 and 756.93

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Solution

The fourth proportional to 1,589.97, 2,385.11 and 756.93 is: 1,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.97 : 2,385.11 = 756.93 : x
  2. Step 2: Convert to fraction form
    1,589.97/2,385.11 = 756.93/x
  3. Step 3: Cross multiply
    1,589.97x = 2,385.11 × 756.93
  4. Step 4: Simplify right side
    1,589.97x = 1,805,361.31
  5. Step 5: Solve for x
    x = 1,805,361.31/1,589.97
  6. Step 6: Final answer
    x = 1,135.47

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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.