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Finding the Fourth Proportional to 2,424.39, 3,638.39 and 943.84

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Solution

The fourth proportional to 2,424.39, 3,638.39 and 943.84 is: 1,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.39 : 3,638.39 = 943.84 : x
  2. Step 2: Convert to fraction form
    2,424.39/3,638.39 = 943.84/x
  3. Step 3: Cross multiply
    2,424.39x = 3,638.39 × 943.84
  4. Step 4: Simplify right side
    2,424.39x = 3,434,058.02
  5. Step 5: Solve for x
    x = 3,434,058.02/2,424.39
  6. Step 6: Final answer
    x = 1,416.46

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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.