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Finding the Fourth Proportional to 4,227.84, 6,340.53 and 1,630.17

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Solution

The fourth proportional to 4,227.84, 6,340.53 and 1,630.17 is: 2,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.84 : 6,340.53 = 1,630.17 : x
  2. Step 2: Convert to fraction form
    4,227.84/6,340.53 = 1,630.17/x
  3. Step 3: Cross multiply
    4,227.84x = 6,340.53 × 1,630.17
  4. Step 4: Simplify right side
    4,227.84x = 10,336,141.79
  5. Step 5: Solve for x
    x = 10,336,141.79/4,227.84
  6. Step 6: Final answer
    x = 2,444.78

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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.