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Finding the Fourth Proportional to 2,329.59, 3,494.36 and 942.92

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Solution

The fourth proportional to 2,329.59, 3,494.36 and 942.92 is: 1,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.59 : 3,494.36 = 942.92 : x
  2. Step 2: Convert to fraction form
    2,329.59/3,494.36 = 942.92/x
  3. Step 3: Cross multiply
    2,329.59x = 3,494.36 × 942.92
  4. Step 4: Simplify right side
    2,329.59x = 3,294,899.92
  5. Step 5: Solve for x
    x = 3,294,899.92/2,329.59
  6. Step 6: Final answer
    x = 1,414.37

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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.