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Finding the Fourth Proportional to 2,096.50, 3,156.98 and 1,552.54

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Solution

The fourth proportional to 2,096.50, 3,156.98 and 1,552.54 is: 2,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.50 : 3,156.98 = 1,552.54 : x
  2. Step 2: Convert to fraction form
    2,096.50/3,156.98 = 1,552.54/x
  3. Step 3: Cross multiply
    2,096.50x = 3,156.98 × 1,552.54
  4. Step 4: Simplify right side
    2,096.50x = 4,901,329.97
  5. Step 5: Solve for x
    x = 4,901,329.97/2,096.50
  6. Step 6: Final answer
    x = 2,337.86

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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.