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Finding the Fourth Proportional to 2,079.55, 3,119.33 and 692.52

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Solution

The fourth proportional to 2,079.55, 3,119.33 and 692.52 is: 1,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.55 : 3,119.33 = 692.52 : x
  2. Step 2: Convert to fraction form
    2,079.55/3,119.33 = 692.52/x
  3. Step 3: Cross multiply
    2,079.55x = 3,119.33 × 692.52
  4. Step 4: Simplify right side
    2,079.55x = 2,160,198.41
  5. Step 5: Solve for x
    x = 2,160,198.41/2,079.55
  6. Step 6: Final answer
    x = 1,038.78

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Similar ratio
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1.5x scale

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.