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Finding the Fourth Proportional to 3,231.84, 4,847.76 and 923.52

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Solution

The fourth proportional to 3,231.84, 4,847.76 and 923.52 is: 1,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.84 : 4,847.76 = 923.52 : x
  2. Step 2: Convert to fraction form
    3,231.84/4,847.76 = 923.52/x
  3. Step 3: Cross multiply
    3,231.84x = 4,847.76 × 923.52
  4. Step 4: Simplify right side
    3,231.84x = 4,477,003.32
  5. Step 5: Solve for x
    x = 4,477,003.32/3,231.84
  6. Step 6: Final answer
    x = 1,385.28

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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.