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Finding the Fourth Proportional to 2,073.92, 2,861.78 and 1,234.51

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Solution

The fourth proportional to 2,073.92, 2,861.78 and 1,234.51 is: 1,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.92 : 2,861.78 = 1,234.51 : x
  2. Step 2: Convert to fraction form
    2,073.92/2,861.78 = 1,234.51/x
  3. Step 3: Cross multiply
    2,073.92x = 2,861.78 × 1,234.51
  4. Step 4: Simplify right side
    2,073.92x = 3,532,882.70
  5. Step 5: Solve for x
    x = 3,532,882.70/2,073.92
  6. Step 6: Final answer
    x = 1,703.48

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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.