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Finding the Fourth Proportional to 2,096.52, 3,145.18 and 1,229

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Solution

The fourth proportional to 2,096.52, 3,145.18 and 1,229 is: 1,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.52 : 3,145.18 = 1,229 : x
  2. Step 2: Convert to fraction form
    2,096.52/3,145.18 = 1,229/x
  3. Step 3: Cross multiply
    2,096.52x = 3,145.18 × 1,229
  4. Step 4: Simplify right side
    2,096.52x = 3,865,426.22
  5. Step 5: Solve for x
    x = 3,865,426.22/2,096.52
  6. Step 6: Final answer
    x = 1,843.73

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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.