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Finding the Fourth Proportional to 2,711.14, 4,066.67 and 862.23

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Solution

The fourth proportional to 2,711.14, 4,066.67 and 862.23 is: 1,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.14 : 4,066.67 = 862.23 : x
  2. Step 2: Convert to fraction form
    2,711.14/4,066.67 = 862.23/x
  3. Step 3: Cross multiply
    2,711.14x = 4,066.67 × 862.23
  4. Step 4: Simplify right side
    2,711.14x = 3,506,392.26
  5. Step 5: Solve for x
    x = 3,506,392.26/2,711.14
  6. Step 6: Final answer
    x = 1,293.33

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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.