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Finding the Fourth Proportional to 2,272.44, 3,408.98 and 1,040.16

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Solution

The fourth proportional to 2,272.44, 3,408.98 and 1,040.16 is: 1,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.44 : 3,408.98 = 1,040.16 : x
  2. Step 2: Convert to fraction form
    2,272.44/3,408.98 = 1,040.16/x
  3. Step 3: Cross multiply
    2,272.44x = 3,408.98 × 1,040.16
  4. Step 4: Simplify right side
    2,272.44x = 3,545,884.64
  5. Step 5: Solve for x
    x = 3,545,884.64/2,272.44
  6. Step 6: Final answer
    x = 1,560.39

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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.