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Finding the Fourth Proportional to 2,252.21, 3,377.40 and 791.02

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Solution

The fourth proportional to 2,252.21, 3,377.40 and 791.02 is: 1,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.21 : 3,377.40 = 791.02 : x
  2. Step 2: Convert to fraction form
    2,252.21/3,377.40 = 791.02/x
  3. Step 3: Cross multiply
    2,252.21x = 3,377.40 × 791.02
  4. Step 4: Simplify right side
    2,252.21x = 2,671,573.21
  5. Step 5: Solve for x
    x = 2,671,573.21/2,252.21
  6. Step 6: Final answer
    x = 1,186.20

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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.