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Finding the Fourth Proportional to 2,151.52, 3,231.12 and 1,762.26

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Solution

The fourth proportional to 2,151.52, 3,231.12 and 1,762.26 is: 2,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.52 : 3,231.12 = 1,762.26 : x
  2. Step 2: Convert to fraction form
    2,151.52/3,231.12 = 1,762.26/x
  3. Step 3: Cross multiply
    2,151.52x = 3,231.12 × 1,762.26
  4. Step 4: Simplify right side
    2,151.52x = 5,694,073.53
  5. Step 5: Solve for x
    x = 5,694,073.53/2,151.52
  6. Step 6: Final answer
    x = 2,646.54

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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.