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Finding the Fourth Proportional to 2,119.81, 3,176.23 and 732.39

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Solution

The fourth proportional to 2,119.81, 3,176.23 and 732.39 is: 1,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.81 : 3,176.23 = 732.39 : x
  2. Step 2: Convert to fraction form
    2,119.81/3,176.23 = 732.39/x
  3. Step 3: Cross multiply
    2,119.81x = 3,176.23 × 732.39
  4. Step 4: Simplify right side
    2,119.81x = 2,326,239.09
  5. Step 5: Solve for x
    x = 2,326,239.09/2,119.81
  6. Step 6: Final answer
    x = 1,097.38

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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.