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Finding the Fourth Proportional to 2,329.49, 3,494.73 and 942.81

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Solution

The fourth proportional to 2,329.49, 3,494.73 and 942.81 is: 1,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.49 : 3,494.73 = 942.81 : x
  2. Step 2: Convert to fraction form
    2,329.49/3,494.73 = 942.81/x
  3. Step 3: Cross multiply
    2,329.49x = 3,494.73 × 942.81
  4. Step 4: Simplify right side
    2,329.49x = 3,294,866.39
  5. Step 5: Solve for x
    x = 3,294,866.39/2,329.49
  6. Step 6: Final answer
    x = 1,414.42

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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.