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Finding the Fourth Proportional to 1,589.10, 2,382.72 and 493.17

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Solution

The fourth proportional to 1,589.10, 2,382.72 and 493.17 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.10 : 2,382.72 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,589.10/2,382.72 = 493.17/x
  3. Step 3: Cross multiply
    1,589.10x = 2,382.72 × 493.17
  4. Step 4: Simplify right side
    1,589.10x = 1,175,086.02
  5. Step 5: Solve for x
    x = 1,175,086.02/1,589.10
  6. Step 6: Final answer
    x = 739.47

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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.