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Finding the Fourth Proportional to 2,882.76, 4,323.22 and 934.50

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Solution

The fourth proportional to 2,882.76, 4,323.22 and 934.50 is: 1,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 4,323.22 = 934.50 : x
  2. Step 2: Convert to fraction form
    2,882.76/4,323.22 = 934.50/x
  3. Step 3: Cross multiply
    2,882.76x = 4,323.22 × 934.50
  4. Step 4: Simplify right side
    2,882.76x = 4,040,049.09
  5. Step 5: Solve for x
    x = 4,040,049.09/2,882.76
  6. Step 6: Final answer
    x = 1,401.45

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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.