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Finding the Fourth Proportional to 2,882.70, 4,323.12 and 934.44

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Solution

The fourth proportional to 2,882.70, 4,323.12 and 934.44 is: 1,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.70 : 4,323.12 = 934.44 : x
  2. Step 2: Convert to fraction form
    2,882.70/4,323.12 = 934.44/x
  3. Step 3: Cross multiply
    2,882.70x = 4,323.12 × 934.44
  4. Step 4: Simplify right side
    2,882.70x = 4,039,696.25
  5. Step 5: Solve for x
    x = 4,039,696.25/2,882.70
  6. Step 6: Final answer
    x = 1,401.36

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1.5x scale

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.