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Finding the Fourth Proportional to 2,233.66, 3,343.54 and 1,649.31

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Solution

The fourth proportional to 2,233.66, 3,343.54 and 1,649.31 is: 2,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.66 : 3,343.54 = 1,649.31 : x
  2. Step 2: Convert to fraction form
    2,233.66/3,343.54 = 1,649.31/x
  3. Step 3: Cross multiply
    2,233.66x = 3,343.54 × 1,649.31
  4. Step 4: Simplify right side
    2,233.66x = 5,514,533.96
  5. Step 5: Solve for x
    x = 5,514,533.96/2,233.66
  6. Step 6: Final answer
    x = 2,468.83

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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.