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Finding the Fourth Proportional to 2,788.84, 4,183 and 1,471.84

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Solution

The fourth proportional to 2,788.84, 4,183 and 1,471.84 is: 2,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.84 : 4,183 = 1,471.84 : x
  2. Step 2: Convert to fraction form
    2,788.84/4,183 = 1,471.84/x
  3. Step 3: Cross multiply
    2,788.84x = 4,183 × 1,471.84
  4. Step 4: Simplify right side
    2,788.84x = 6,156,706.72
  5. Step 5: Solve for x
    x = 6,156,706.72/2,788.84
  6. Step 6: Final answer
    x = 2,207.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.