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Finding the Fourth Proportional to 2,389.50, 3,294.68 and 1,751.22

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Solution

The fourth proportional to 2,389.50, 3,294.68 and 1,751.22 is: 2,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.50 : 3,294.68 = 1,751.22 : x
  2. Step 2: Convert to fraction form
    2,389.50/3,294.68 = 1,751.22/x
  3. Step 3: Cross multiply
    2,389.50x = 3,294.68 × 1,751.22
  4. Step 4: Simplify right side
    2,389.50x = 5,769,700.75
  5. Step 5: Solve for x
    x = 5,769,700.75/2,389.50
  6. Step 6: Final answer
    x = 2,414.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.