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Finding the Fourth Proportional to 1,735.38, 2,589.74 and 1,550.84

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Solution

The fourth proportional to 1,735.38, 2,589.74 and 1,550.84 is: 2,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.38 : 2,589.74 = 1,550.84 : x
  2. Step 2: Convert to fraction form
    1,735.38/2,589.74 = 1,550.84/x
  3. Step 3: Cross multiply
    1,735.38x = 2,589.74 × 1,550.84
  4. Step 4: Simplify right side
    1,735.38x = 4,016,272.38
  5. Step 5: Solve for x
    x = 4,016,272.38/1,735.38
  6. Step 6: Final answer
    x = 2,314.35

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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.