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Finding the Fourth Proportional to 1,809.35, 2,711.95 and 767.82

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Solution

The fourth proportional to 1,809.35, 2,711.95 and 767.82 is: 1,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.35 : 2,711.95 = 767.82 : x
  2. Step 2: Convert to fraction form
    1,809.35/2,711.95 = 767.82/x
  3. Step 3: Cross multiply
    1,809.35x = 2,711.95 × 767.82
  4. Step 4: Simplify right side
    1,809.35x = 2,082,287.53
  5. Step 5: Solve for x
    x = 2,082,287.53/1,809.35
  6. Step 6: Final answer
    x = 1,150.85

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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.