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Finding the Fourth Proportional to 3,120.71, 4,681.05 and 812.21

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Solution

The fourth proportional to 3,120.71, 4,681.05 and 812.21 is: 1,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.71 : 4,681.05 = 812.21 : x
  2. Step 2: Convert to fraction form
    3,120.71/4,681.05 = 812.21/x
  3. Step 3: Cross multiply
    3,120.71x = 4,681.05 × 812.21
  4. Step 4: Simplify right side
    3,120.71x = 3,801,995.62
  5. Step 5: Solve for x
    x = 3,801,995.62/3,120.71
  6. Step 6: Final answer
    x = 1,218.31

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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.