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Finding the Fourth Proportional to 3,191.28, 4,786.86 and 882.84

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Solution

The fourth proportional to 3,191.28, 4,786.86 and 882.84 is: 1,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.28 : 4,786.86 = 882.84 : x
  2. Step 2: Convert to fraction form
    3,191.28/4,786.86 = 882.84/x
  3. Step 3: Cross multiply
    3,191.28x = 4,786.86 × 882.84
  4. Step 4: Simplify right side
    3,191.28x = 4,226,031.48
  5. Step 5: Solve for x
    x = 4,226,031.48/3,191.28
  6. Step 6: Final answer
    x = 1,324.24

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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.