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Finding the Fourth Proportional to 2,882.16, 4,323.14 and 934.31

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Solution

The fourth proportional to 2,882.16, 4,323.14 and 934.31 is: 1,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.16 : 4,323.14 = 934.31 : x
  2. Step 2: Convert to fraction form
    2,882.16/4,323.14 = 934.31/x
  3. Step 3: Cross multiply
    2,882.16x = 4,323.14 × 934.31
  4. Step 4: Simplify right side
    2,882.16x = 4,039,162.57
  5. Step 5: Solve for x
    x = 4,039,162.57/2,882.16
  6. Step 6: Final answer
    x = 1,401.44

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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.