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Finding the Fourth Proportional to 2,153.72, 3,231.21 and 1,114.31

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Solution

The fourth proportional to 2,153.72, 3,231.21 and 1,114.31 is: 1,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.72 : 3,231.21 = 1,114.31 : x
  2. Step 2: Convert to fraction form
    2,153.72/3,231.21 = 1,114.31/x
  3. Step 3: Cross multiply
    2,153.72x = 3,231.21 × 1,114.31
  4. Step 4: Simplify right side
    2,153.72x = 3,600,569.62
  5. Step 5: Solve for x
    x = 3,600,569.62/2,153.72
  6. Step 6: Final answer
    x = 1,671.79

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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.