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Finding the Fourth Proportional to 3,231.66, 4,848.71 and 1,285.23

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Solution

The fourth proportional to 3,231.66, 4,848.71 and 1,285.23 is: 1,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.66 : 4,848.71 = 1,285.23 : x
  2. Step 2: Convert to fraction form
    3,231.66/4,848.71 = 1,285.23/x
  3. Step 3: Cross multiply
    3,231.66x = 4,848.71 × 1,285.23
  4. Step 4: Simplify right side
    3,231.66x = 6,231,707.55
  5. Step 5: Solve for x
    x = 6,231,707.55/3,231.66
  6. Step 6: Final answer
    x = 1,928.33

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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.