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Finding the Fourth Proportional to 2,175.31, 3,262.83 and 615.25

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Solution

The fourth proportional to 2,175.31, 3,262.83 and 615.25 is: 922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.31 : 3,262.83 = 615.25 : x
  2. Step 2: Convert to fraction form
    2,175.31/3,262.83 = 615.25/x
  3. Step 3: Cross multiply
    2,175.31x = 3,262.83 × 615.25
  4. Step 4: Simplify right side
    2,175.31x = 2,007,456.16
  5. Step 5: Solve for x
    x = 2,007,456.16/2,175.31
  6. Step 6: Final answer
    x = 922.84

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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.