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Finding the Fourth Proportional to 2,119.41, 3,178.35 and 732.33

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Solution

The fourth proportional to 2,119.41, 3,178.35 and 732.33 is: 1,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.41 : 3,178.35 = 732.33 : x
  2. Step 2: Convert to fraction form
    2,119.41/3,178.35 = 732.33/x
  3. Step 3: Cross multiply
    2,119.41x = 3,178.35 × 732.33
  4. Step 4: Simplify right side
    2,119.41x = 2,327,601.06
  5. Step 5: Solve for x
    x = 2,327,601.06/2,119.41
  6. Step 6: Final answer
    x = 1,098.23

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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.