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Finding the Fourth Proportional to 2,324.78, 3,208.26 and 1,440.68

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Solution

The fourth proportional to 2,324.78, 3,208.26 and 1,440.68 is: 1,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.78 : 3,208.26 = 1,440.68 : x
  2. Step 2: Convert to fraction form
    2,324.78/3,208.26 = 1,440.68/x
  3. Step 3: Cross multiply
    2,324.78x = 3,208.26 × 1,440.68
  4. Step 4: Simplify right side
    2,324.78x = 4,622,076.02
  5. Step 5: Solve for x
    x = 4,622,076.02/2,324.78
  6. Step 6: Final answer
    x = 1,988.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.