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Finding the Fourth Proportional to 2,029.94, 3,040.82 and 932.80

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Solution

The fourth proportional to 2,029.94, 3,040.82 and 932.80 is: 1,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.94 : 3,040.82 = 932.80 : x
  2. Step 2: Convert to fraction form
    2,029.94/3,040.82 = 932.80/x
  3. Step 3: Cross multiply
    2,029.94x = 3,040.82 × 932.80
  4. Step 4: Simplify right side
    2,029.94x = 2,836,476.90
  5. Step 5: Solve for x
    x = 2,836,476.90/2,029.94
  6. Step 6: Final answer
    x = 1,397.32

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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.