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Finding the Fourth Proportional to 2,192.76, 3,289.22 and 731.93

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Solution

The fourth proportional to 2,192.76, 3,289.22 and 731.93 is: 1,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.76 : 3,289.22 = 731.93 : x
  2. Step 2: Convert to fraction form
    2,192.76/3,289.22 = 731.93/x
  3. Step 3: Cross multiply
    2,192.76x = 3,289.22 × 731.93
  4. Step 4: Simplify right side
    2,192.76x = 2,407,478.79
  5. Step 5: Solve for x
    x = 2,407,478.79/2,192.76
  6. Step 6: Final answer
    x = 1,097.92

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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.