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Finding the Fourth Proportional to 3,165.66, 4,748.49 and 2,109.24

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Solution

The fourth proportional to 3,165.66, 4,748.49 and 2,109.24 is: 3,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.66 : 4,748.49 = 2,109.24 : x
  2. Step 2: Convert to fraction form
    3,165.66/4,748.49 = 2,109.24/x
  3. Step 3: Cross multiply
    3,165.66x = 4,748.49 × 2,109.24
  4. Step 4: Simplify right side
    3,165.66x = 10,015,670.76
  5. Step 5: Solve for x
    x = 10,015,670.76/3,165.66
  6. Step 6: Final answer
    x = 3,163.85

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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.