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Finding the Fourth Proportional to 2,153.58, 3,231.38 and 1,057.33

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Solution

The fourth proportional to 2,153.58, 3,231.38 and 1,057.33 is: 1,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.58 : 3,231.38 = 1,057.33 : x
  2. Step 2: Convert to fraction form
    2,153.58/3,231.38 = 1,057.33/x
  3. Step 3: Cross multiply
    2,153.58x = 3,231.38 × 1,057.33
  4. Step 4: Simplify right side
    2,153.58x = 3,416,635.02
  5. Step 5: Solve for x
    x = 3,416,635.02/2,153.58
  6. Step 6: Final answer
    x = 1,586.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.