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Finding the Fourth Proportional to 2,722.91, 4,084.35 and 775.10

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Solution

The fourth proportional to 2,722.91, 4,084.35 and 775.10 is: 1,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.91 : 4,084.35 = 775.10 : x
  2. Step 2: Convert to fraction form
    2,722.91/4,084.35 = 775.10/x
  3. Step 3: Cross multiply
    2,722.91x = 4,084.35 × 775.10
  4. Step 4: Simplify right side
    2,722.91x = 3,165,786.99
  5. Step 5: Solve for x
    x = 3,165,786.99/2,722.91
  6. Step 6: Final answer
    x = 1,162.65

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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.