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Finding the Fourth Proportional to 1,677.01, 2,497.78 and 1,589.19

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Solution

The fourth proportional to 1,677.01, 2,497.78 and 1,589.19 is: 2,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.01 : 2,497.78 = 1,589.19 : x
  2. Step 2: Convert to fraction form
    1,677.01/2,497.78 = 1,589.19/x
  3. Step 3: Cross multiply
    1,677.01x = 2,497.78 × 1,589.19
  4. Step 4: Simplify right side
    1,677.01x = 3,969,439.05
  5. Step 5: Solve for x
    x = 3,969,439.05/1,677.01
  6. Step 6: Final answer
    x = 2,366.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.