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Finding the Fourth Proportional to 1,867.46, 2,589.17 and 1,755.68

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Solution

The fourth proportional to 1,867.46, 2,589.17 and 1,755.68 is: 2,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.46 : 2,589.17 = 1,755.68 : x
  2. Step 2: Convert to fraction form
    1,867.46/2,589.17 = 1,755.68/x
  3. Step 3: Cross multiply
    1,867.46x = 2,589.17 × 1,755.68
  4. Step 4: Simplify right side
    1,867.46x = 4,545,732.26
  5. Step 5: Solve for x
    x = 4,545,732.26/1,867.46
  6. Step 6: Final answer
    x = 2,434.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.