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Finding the Fourth Proportional to 3,292.69, 4,543.99 and 1,966.15

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Solution

The fourth proportional to 3,292.69, 4,543.99 and 1,966.15 is: 2,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.69 : 4,543.99 = 1,966.15 : x
  2. Step 2: Convert to fraction form
    3,292.69/4,543.99 = 1,966.15/x
  3. Step 3: Cross multiply
    3,292.69x = 4,543.99 × 1,966.15
  4. Step 4: Simplify right side
    3,292.69x = 8,934,144.75
  5. Step 5: Solve for x
    x = 8,934,144.75/3,292.69
  6. Step 6: Final answer
    x = 2,713.33

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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.