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Finding the Fourth Proportional to 2,252.46, 3,377.20 and 935.84

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Solution

The fourth proportional to 2,252.46, 3,377.20 and 935.84 is: 1,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.46 : 3,377.20 = 935.84 : x
  2. Step 2: Convert to fraction form
    2,252.46/3,377.20 = 935.84/x
  3. Step 3: Cross multiply
    2,252.46x = 3,377.20 × 935.84
  4. Step 4: Simplify right side
    2,252.46x = 3,160,518.85
  5. Step 5: Solve for x
    x = 3,160,518.85/2,252.46
  6. Step 6: Final answer
    x = 1,403.14

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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.