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Finding the Fourth Proportional to 3,166.48, 4,749.78 and 826.35

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Solution

The fourth proportional to 3,166.48, 4,749.78 and 826.35 is: 1,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.48 : 4,749.78 = 826.35 : x
  2. Step 2: Convert to fraction form
    3,166.48/4,749.78 = 826.35/x
  3. Step 3: Cross multiply
    3,166.48x = 4,749.78 × 826.35
  4. Step 4: Simplify right side
    3,166.48x = 3,924,956.95
  5. Step 5: Solve for x
    x = 3,924,956.95/3,166.48
  6. Step 6: Final answer
    x = 1,239.53

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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.