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Finding the Fourth Proportional to 3,478.92, 4,800.78 and 2,081.76

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Solution

The fourth proportional to 3,478.92, 4,800.78 and 2,081.76 is: 2,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.92 : 4,800.78 = 2,081.76 : x
  2. Step 2: Convert to fraction form
    3,478.92/4,800.78 = 2,081.76/x
  3. Step 3: Cross multiply
    3,478.92x = 4,800.78 × 2,081.76
  4. Step 4: Simplify right side
    3,478.92x = 9,994,071.77
  5. Step 5: Solve for x
    x = 9,994,071.77/3,478.92
  6. Step 6: Final answer
    x = 2,872.75

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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.