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Finding the Fourth Proportional to 3,231.43, 4,847.16 and 1,283.63

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Solution

The fourth proportional to 3,231.43, 4,847.16 and 1,283.63 is: 1,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.43 : 4,847.16 = 1,283.63 : x
  2. Step 2: Convert to fraction form
    3,231.43/4,847.16 = 1,283.63/x
  3. Step 3: Cross multiply
    3,231.43x = 4,847.16 × 1,283.63
  4. Step 4: Simplify right side
    3,231.43x = 6,221,960.61
  5. Step 5: Solve for x
    x = 6,221,960.61/3,231.43
  6. Step 6: Final answer
    x = 1,925.45

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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.