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Finding the Fourth Proportional to 1,794.46, 2,692.20 and 753.93

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Solution

The fourth proportional to 1,794.46, 2,692.20 and 753.93 is: 1,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.46 : 2,692.20 = 753.93 : x
  2. Step 2: Convert to fraction form
    1,794.46/2,692.20 = 753.93/x
  3. Step 3: Cross multiply
    1,794.46x = 2,692.20 × 753.93
  4. Step 4: Simplify right side
    1,794.46x = 2,029,723.08
  5. Step 5: Solve for x
    x = 2,029,723.08/1,794.46
  6. Step 6: Final answer
    x = 1,131.10

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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.