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Finding the Fourth Proportional to 3,169.28, 4,753.80 and 860.84

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Solution

The fourth proportional to 3,169.28, 4,753.80 and 860.84 is: 1,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.28 : 4,753.80 = 860.84 : x
  2. Step 2: Convert to fraction form
    3,169.28/4,753.80 = 860.84/x
  3. Step 3: Cross multiply
    3,169.28x = 4,753.80 × 860.84
  4. Step 4: Simplify right side
    3,169.28x = 4,092,261.19
  5. Step 5: Solve for x
    x = 4,092,261.19/3,169.28
  6. Step 6: Final answer
    x = 1,291.23

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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.