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Finding the Fourth Proportional to 2,408.72, 3,610.62 and 945.88

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Solution

The fourth proportional to 2,408.72, 3,610.62 and 945.88 is: 1,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.72 : 3,610.62 = 945.88 : x
  2. Step 2: Convert to fraction form
    2,408.72/3,610.62 = 945.88/x
  3. Step 3: Cross multiply
    2,408.72x = 3,610.62 × 945.88
  4. Step 4: Simplify right side
    2,408.72x = 3,415,213.25
  5. Step 5: Solve for x
    x = 3,415,213.25/2,408.72
  6. Step 6: Final answer
    x = 1,417.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.