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Finding the Fourth Proportional to 2,257.66, 3,388.95 and 942.33

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Solution

The fourth proportional to 2,257.66, 3,388.95 and 942.33 is: 1,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.66 : 3,388.95 = 942.33 : x
  2. Step 2: Convert to fraction form
    2,257.66/3,388.95 = 942.33/x
  3. Step 3: Cross multiply
    2,257.66x = 3,388.95 × 942.33
  4. Step 4: Simplify right side
    2,257.66x = 3,193,509.25
  5. Step 5: Solve for x
    x = 3,193,509.25/2,257.66
  6. Step 6: Final answer
    x = 1,414.52

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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.