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Finding the Fourth Proportional to 2,191.47, 3,287.21 and 892.91

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Solution

The fourth proportional to 2,191.47, 3,287.21 and 892.91 is: 1,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.47 : 3,287.21 = 892.91 : x
  2. Step 2: Convert to fraction form
    2,191.47/3,287.21 = 892.91/x
  3. Step 3: Cross multiply
    2,191.47x = 3,287.21 × 892.91
  4. Step 4: Simplify right side
    2,191.47x = 2,935,161.78
  5. Step 5: Solve for x
    x = 2,935,161.78/2,191.47
  6. Step 6: Final answer
    x = 1,339.36

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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.