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Finding the Fourth Proportional to 3,207.66, 4,812.12 and 1,015.80

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Solution

The fourth proportional to 3,207.66, 4,812.12 and 1,015.80 is: 1,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.66 : 4,812.12 = 1,015.80 : x
  2. Step 2: Convert to fraction form
    3,207.66/4,812.12 = 1,015.80/x
  3. Step 3: Cross multiply
    3,207.66x = 4,812.12 × 1,015.80
  4. Step 4: Simplify right side
    3,207.66x = 4,888,151.50
  5. Step 5: Solve for x
    x = 4,888,151.50/3,207.66
  6. Step 6: Final answer
    x = 1,523.90

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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.