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Finding the Fourth Proportional to 1,755.87, 2,633.80 and 1,269.87

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Solution

The fourth proportional to 1,755.87, 2,633.80 and 1,269.87 is: 1,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.87 : 2,633.80 = 1,269.87 : x
  2. Step 2: Convert to fraction form
    1,755.87/2,633.80 = 1,269.87/x
  3. Step 3: Cross multiply
    1,755.87x = 2,633.80 × 1,269.87
  4. Step 4: Simplify right side
    1,755.87x = 3,344,570.44
  5. Step 5: Solve for x
    x = 3,344,570.44/1,755.87
  6. Step 6: Final answer
    x = 1,904.80

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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.