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Finding the Fourth Proportional to 1,866.05, 2,799 and 769.59

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Solution

The fourth proportional to 1,866.05, 2,799 and 769.59 is: 1,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.05 : 2,799 = 769.59 : x
  2. Step 2: Convert to fraction form
    1,866.05/2,799 = 769.59/x
  3. Step 3: Cross multiply
    1,866.05x = 2,799 × 769.59
  4. Step 4: Simplify right side
    1,866.05x = 2,154,082.41
  5. Step 5: Solve for x
    x = 2,154,082.41/1,866.05
  6. Step 6: Final answer
    x = 1,154.36

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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.