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Finding the Fourth Proportional to 2,251.81, 3,377.82 and 692.05

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Solution

The fourth proportional to 2,251.81, 3,377.82 and 692.05 is: 1,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.81 : 3,377.82 = 692.05 : x
  2. Step 2: Convert to fraction form
    2,251.81/3,377.82 = 692.05/x
  3. Step 3: Cross multiply
    2,251.81x = 3,377.82 × 692.05
  4. Step 4: Simplify right side
    2,251.81x = 2,337,620.33
  5. Step 5: Solve for x
    x = 2,337,620.33/2,251.81
  6. Step 6: Final answer
    x = 1,038.11

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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.