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Finding the Fourth Proportional to 4,102.65, 6,158.43 and 1,639.17

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Solution

The fourth proportional to 4,102.65, 6,158.43 and 1,639.17 is: 2,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.65 : 6,158.43 = 1,639.17 : x
  2. Step 2: Convert to fraction form
    4,102.65/6,158.43 = 1,639.17/x
  3. Step 3: Cross multiply
    4,102.65x = 6,158.43 × 1,639.17
  4. Step 4: Simplify right side
    4,102.65x = 10,094,713.70
  5. Step 5: Solve for x
    x = 10,094,713.70/4,102.65
  6. Step 6: Final answer
    x = 2,460.53

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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.