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Finding the Fourth Proportional to 3,166, 4,750.12 and 2,298.80

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Solution

The fourth proportional to 3,166, 4,750.12 and 2,298.80 is: 3,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166 : 4,750.12 = 2,298.80 : x
  2. Step 2: Convert to fraction form
    3,166/4,750.12 = 2,298.80/x
  3. Step 3: Cross multiply
    3,166x = 4,750.12 × 2,298.80
  4. Step 4: Simplify right side
    3,166x = 10,919,575.86
  5. Step 5: Solve for x
    x = 10,919,575.86/3,166
  6. Step 6: Final answer
    x = 3,449.01

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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.