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Finding the Fourth Proportional to 2,078.69, 3,117.13 and 812.06

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Solution

The fourth proportional to 2,078.69, 3,117.13 and 812.06 is: 1,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.69 : 3,117.13 = 812.06 : x
  2. Step 2: Convert to fraction form
    2,078.69/3,117.13 = 812.06/x
  3. Step 3: Cross multiply
    2,078.69x = 3,117.13 × 812.06
  4. Step 4: Simplify right side
    2,078.69x = 2,531,276.94
  5. Step 5: Solve for x
    x = 2,531,276.94/2,078.69
  6. Step 6: Final answer
    x = 1,217.73

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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.