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Finding the Fourth Proportional to 1,654.67, 2,481.64 and 832.70

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Solution

The fourth proportional to 1,654.67, 2,481.64 and 832.70 is: 1,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.67 : 2,481.64 = 832.70 : x
  2. Step 2: Convert to fraction form
    1,654.67/2,481.64 = 832.70/x
  3. Step 3: Cross multiply
    1,654.67x = 2,481.64 × 832.70
  4. Step 4: Simplify right side
    1,654.67x = 2,066,461.63
  5. Step 5: Solve for x
    x = 2,066,461.63/1,654.67
  6. Step 6: Final answer
    x = 1,248.87

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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.