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Finding the Fourth Proportional to 1,755.98, 2,633.27 and 878.15

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Solution

The fourth proportional to 1,755.98, 2,633.27 and 878.15 is: 1,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.98 : 2,633.27 = 878.15 : x
  2. Step 2: Convert to fraction form
    1,755.98/2,633.27 = 878.15/x
  3. Step 3: Cross multiply
    1,755.98x = 2,633.27 × 878.15
  4. Step 4: Simplify right side
    1,755.98x = 2,312,406.05
  5. Step 5: Solve for x
    x = 2,312,406.05/1,755.98
  6. Step 6: Final answer
    x = 1,316.87

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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.