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Finding the Fourth Proportional to 2,191.88, 3,287.63 and 805.16

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Solution

The fourth proportional to 2,191.88, 3,287.63 and 805.16 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.88 : 3,287.63 = 805.16 : x
  2. Step 2: Convert to fraction form
    2,191.88/3,287.63 = 805.16/x
  3. Step 3: Cross multiply
    2,191.88x = 3,287.63 × 805.16
  4. Step 4: Simplify right side
    2,191.88x = 2,647,047.71
  5. Step 5: Solve for x
    x = 2,647,047.71/2,191.88
  6. Step 6: Final answer
    x = 1,207.66

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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.