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Finding the Fourth Proportional to 3,252.44, 4,878.78 and 943.96

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Solution

The fourth proportional to 3,252.44, 4,878.78 and 943.96 is: 1,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.44 : 4,878.78 = 943.96 : x
  2. Step 2: Convert to fraction form
    3,252.44/4,878.78 = 943.96/x
  3. Step 3: Cross multiply
    3,252.44x = 4,878.78 × 943.96
  4. Step 4: Simplify right side
    3,252.44x = 4,605,373.17
  5. Step 5: Solve for x
    x = 4,605,373.17/3,252.44
  6. Step 6: Final answer
    x = 1,415.97

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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.