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Finding the Fourth Proportional to 3,291.66, 4,542.38 and 1,966.25

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Solution

The fourth proportional to 3,291.66, 4,542.38 and 1,966.25 is: 2,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.66 : 4,542.38 = 1,966.25 : x
  2. Step 2: Convert to fraction form
    3,291.66/4,542.38 = 1,966.25/x
  3. Step 3: Cross multiply
    3,291.66x = 4,542.38 × 1,966.25
  4. Step 4: Simplify right side
    3,291.66x = 8,931,454.68
  5. Step 5: Solve for x
    x = 8,931,454.68/3,291.66
  6. Step 6: Final answer
    x = 2,713.36

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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.