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Finding the Fourth Proportional to 2,153.57, 3,231.26 and 1,287.88

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Solution

The fourth proportional to 2,153.57, 3,231.26 and 1,287.88 is: 1,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.57 : 3,231.26 = 1,287.88 : x
  2. Step 2: Convert to fraction form
    2,153.57/3,231.26 = 1,287.88/x
  3. Step 3: Cross multiply
    2,153.57x = 3,231.26 × 1,287.88
  4. Step 4: Simplify right side
    2,153.57x = 4,161,475.13
  5. Step 5: Solve for x
    x = 4,161,475.13/2,153.57
  6. Step 6: Final answer
    x = 1,932.36

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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.