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Finding the Fourth Proportional to 3,298.76, 4,945.48 and 1,654.44

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Solution

The fourth proportional to 3,298.76, 4,945.48 and 1,654.44 is: 2,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.76 : 4,945.48 = 1,654.44 : x
  2. Step 2: Convert to fraction form
    3,298.76/4,945.48 = 1,654.44/x
  3. Step 3: Cross multiply
    3,298.76x = 4,945.48 × 1,654.44
  4. Step 4: Simplify right side
    3,298.76x = 8,181,999.93
  5. Step 5: Solve for x
    x = 8,181,999.93/3,298.76
  6. Step 6: Final answer
    x = 2,480.33

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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.