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Finding the Fourth Proportional to 2,849, 3,929.46 and 1,966.28

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Solution

The fourth proportional to 2,849, 3,929.46 and 1,966.28 is: 2,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 3,929.46 = 1,966.28 : x
  2. Step 2: Convert to fraction form
    2,849/3,929.46 = 1,966.28/x
  3. Step 3: Cross multiply
    2,849x = 3,929.46 × 1,966.28
  4. Step 4: Simplify right side
    2,849x = 7,726,418.61
  5. Step 5: Solve for x
    x = 7,726,418.61/2,849
  6. Step 6: Final answer
    x = 2,711.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.