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Finding the Fourth Proportional to 2,711.34, 4,066.74 and 763.43

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Solution

The fourth proportional to 2,711.34, 4,066.74 and 763.43 is: 1,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.34 : 4,066.74 = 763.43 : x
  2. Step 2: Convert to fraction form
    2,711.34/4,066.74 = 763.43/x
  3. Step 3: Cross multiply
    2,711.34x = 4,066.74 × 763.43
  4. Step 4: Simplify right side
    2,711.34x = 3,104,650.98
  5. Step 5: Solve for x
    x = 3,104,650.98/2,711.34
  6. Step 6: Final answer
    x = 1,145.06

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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.