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Finding the Fourth Proportional to 2,096.17, 3,143.53 and 862.95

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Solution

The fourth proportional to 2,096.17, 3,143.53 and 862.95 is: 1,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.17 : 3,143.53 = 862.95 : x
  2. Step 2: Convert to fraction form
    2,096.17/3,143.53 = 862.95/x
  3. Step 3: Cross multiply
    2,096.17x = 3,143.53 × 862.95
  4. Step 4: Simplify right side
    2,096.17x = 2,712,709.21
  5. Step 5: Solve for x
    x = 2,712,709.21/2,096.17
  6. Step 6: Final answer
    x = 1,294.13

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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.