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Finding the Fourth Proportional to 2,096.46, 3,141.98 and 862.47

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Solution

The fourth proportional to 2,096.46, 3,141.98 and 862.47 is: 1,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.46 : 3,141.98 = 862.47 : x
  2. Step 2: Convert to fraction form
    2,096.46/3,141.98 = 862.47/x
  3. Step 3: Cross multiply
    2,096.46x = 3,141.98 × 862.47
  4. Step 4: Simplify right side
    2,096.46x = 2,709,859.18
  5. Step 5: Solve for x
    x = 2,709,859.18/2,096.46
  6. Step 6: Final answer
    x = 1,292.59

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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.