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Finding the Fourth Proportional to 2,096, 3,156.22 and 1,552.04

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Solution

The fourth proportional to 2,096, 3,156.22 and 1,552.04 is: 2,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096 : 3,156.22 = 1,552.04 : x
  2. Step 2: Convert to fraction form
    2,096/3,156.22 = 1,552.04/x
  3. Step 3: Cross multiply
    2,096x = 3,156.22 × 1,552.04
  4. Step 4: Simplify right side
    2,096x = 4,898,579.69
  5. Step 5: Solve for x
    x = 4,898,579.69/2,096
  6. Step 6: Final answer
    x = 2,337.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.