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Finding the Fourth Proportional to 2,711.09, 4,066.49 and 956.18

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Solution

The fourth proportional to 2,711.09, 4,066.49 and 956.18 is: 1,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.09 : 4,066.49 = 956.18 : x
  2. Step 2: Convert to fraction form
    2,711.09/4,066.49 = 956.18/x
  3. Step 3: Cross multiply
    2,711.09x = 4,066.49 × 956.18
  4. Step 4: Simplify right side
    2,711.09x = 3,888,308.96
  5. Step 5: Solve for x
    x = 3,888,308.96/2,711.09
  6. Step 6: Final answer
    x = 1,434.22

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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.