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Finding the Fourth Proportional to 2,567.17, 3,851.23 and 812.61

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Solution

The fourth proportional to 2,567.17, 3,851.23 and 812.61 is: 1,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.17 : 3,851.23 = 812.61 : x
  2. Step 2: Convert to fraction form
    2,567.17/3,851.23 = 812.61/x
  3. Step 3: Cross multiply
    2,567.17x = 3,851.23 × 812.61
  4. Step 4: Simplify right side
    2,567.17x = 3,129,553.58
  5. Step 5: Solve for x
    x = 3,129,553.58/2,567.17
  6. Step 6: Final answer
    x = 1,219.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.