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Finding the Fourth Proportional to 3,011.71, 4,517.81 and 820.45

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Solution

The fourth proportional to 3,011.71, 4,517.81 and 820.45 is: 1,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.71 : 4,517.81 = 820.45 : x
  2. Step 2: Convert to fraction form
    3,011.71/4,517.81 = 820.45/x
  3. Step 3: Cross multiply
    3,011.71x = 4,517.81 × 820.45
  4. Step 4: Simplify right side
    3,011.71x = 3,706,637.21
  5. Step 5: Solve for x
    x = 3,706,637.21/3,011.71
  6. Step 6: Final answer
    x = 1,230.74

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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.