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Finding the Fourth Proportional to 1,794.75, 2,692.19 and 562.13

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Solution

The fourth proportional to 1,794.75, 2,692.19 and 562.13 is: 843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.75 : 2,692.19 = 562.13 : x
  2. Step 2: Convert to fraction form
    1,794.75/2,692.19 = 562.13/x
  3. Step 3: Cross multiply
    1,794.75x = 2,692.19 × 562.13
  4. Step 4: Simplify right side
    1,794.75x = 1,513,360.76
  5. Step 5: Solve for x
    x = 1,513,360.76/1,794.75
  6. Step 6: Final answer
    x = 843.22

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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.