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Finding the Fourth Proportional to 2,334.54, 3,496.44 and 1,408.08

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Solution

The fourth proportional to 2,334.54, 3,496.44 and 1,408.08 is: 2,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.54 : 3,496.44 = 1,408.08 : x
  2. Step 2: Convert to fraction form
    2,334.54/3,496.44 = 1,408.08/x
  3. Step 3: Cross multiply
    2,334.54x = 3,496.44 × 1,408.08
  4. Step 4: Simplify right side
    2,334.54x = 4,923,267.24
  5. Step 5: Solve for x
    x = 4,923,267.24/2,334.54
  6. Step 6: Final answer
    x = 2,108.88

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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.