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Finding the Fourth Proportional to 1,922.88, 2,882.33 and 934.23

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Solution

The fourth proportional to 1,922.88, 2,882.33 and 934.23 is: 1,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.88 : 2,882.33 = 934.23 : x
  2. Step 2: Convert to fraction form
    1,922.88/2,882.33 = 934.23/x
  3. Step 3: Cross multiply
    1,922.88x = 2,882.33 × 934.23
  4. Step 4: Simplify right side
    1,922.88x = 2,692,768.80
  5. Step 5: Solve for x
    x = 2,692,768.80/1,922.88
  6. Step 6: Final answer
    x = 1,400.38

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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.