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Finding the Fourth Proportional to 2,424.78, 3,343.77 and 1,540.26

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Solution

The fourth proportional to 2,424.78, 3,343.77 and 1,540.26 is: 2,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.78 : 3,343.77 = 1,540.26 : x
  2. Step 2: Convert to fraction form
    2,424.78/3,343.77 = 1,540.26/x
  3. Step 3: Cross multiply
    2,424.78x = 3,343.77 × 1,540.26
  4. Step 4: Simplify right side
    2,424.78x = 5,150,275.18
  5. Step 5: Solve for x
    x = 5,150,275.18/2,424.78
  6. Step 6: Final answer
    x = 2,124.02

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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.