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Finding the Fourth Proportional to 2,654.76, 3,975.66 and 2,408.52

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Solution

The fourth proportional to 2,654.76, 3,975.66 and 2,408.52 is: 3,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.76 : 3,975.66 = 2,408.52 : x
  2. Step 2: Convert to fraction form
    2,654.76/3,975.66 = 2,408.52/x
  3. Step 3: Cross multiply
    2,654.76x = 3,975.66 × 2,408.52
  4. Step 4: Simplify right side
    2,654.76x = 9,575,456.62
  5. Step 5: Solve for x
    x = 9,575,456.62/2,654.76
  6. Step 6: Final answer
    x = 3,606.90

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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.