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Finding the Fourth Proportional to 2,162.56, 3,241.56 and 929.68

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Solution

The fourth proportional to 2,162.56, 3,241.56 and 929.68 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.56 : 3,241.56 = 929.68 : x
  2. Step 2: Convert to fraction form
    2,162.56/3,241.56 = 929.68/x
  3. Step 3: Cross multiply
    2,162.56x = 3,241.56 × 929.68
  4. Step 4: Simplify right side
    2,162.56x = 3,013,613.50
  5. Step 5: Solve for x
    x = 3,013,613.50/2,162.56
  6. Step 6: Final answer
    x = 1,393.54

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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.