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Finding the Fourth Proportional to 2,566.67, 3,850.47 and 812.11

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Solution

The fourth proportional to 2,566.67, 3,850.47 and 812.11 is: 1,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.67 : 3,850.47 = 812.11 : x
  2. Step 2: Convert to fraction form
    2,566.67/3,850.47 = 812.11/x
  3. Step 3: Cross multiply
    2,566.67x = 3,850.47 × 812.11
  4. Step 4: Simplify right side
    2,566.67x = 3,127,014.90
  5. Step 5: Solve for x
    x = 3,127,014.90/2,566.67
  6. Step 6: Final answer
    x = 1,218.32

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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.