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Finding the Fourth Proportional to 2,153.10, 3,229.92 and 1,056.54

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Solution

The fourth proportional to 2,153.10, 3,229.92 and 1,056.54 is: 1,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.10 : 3,229.92 = 1,056.54 : x
  2. Step 2: Convert to fraction form
    2,153.10/3,229.92 = 1,056.54/x
  3. Step 3: Cross multiply
    2,153.10x = 3,229.92 × 1,056.54
  4. Step 4: Simplify right side
    2,153.10x = 3,412,539.68
  5. Step 5: Solve for x
    x = 3,412,539.68/2,153.10
  6. Step 6: Final answer
    x = 1,584.94

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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.