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Finding the Fourth Proportional to 3,169.14, 4,753.28 and 829.30

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Solution

The fourth proportional to 3,169.14, 4,753.28 and 829.30 is: 1,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.14 : 4,753.28 = 829.30 : x
  2. Step 2: Convert to fraction form
    3,169.14/4,753.28 = 829.30/x
  3. Step 3: Cross multiply
    3,169.14x = 4,753.28 × 829.30
  4. Step 4: Simplify right side
    3,169.14x = 3,941,895.10
  5. Step 5: Solve for x
    x = 3,941,895.10/3,169.14
  6. Step 6: Final answer
    x = 1,243.84

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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.