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Finding the Fourth Proportional to 2,173.97, 3,262.69 and 787.70

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Solution

The fourth proportional to 2,173.97, 3,262.69 and 787.70 is: 1,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.97 : 3,262.69 = 787.70 : x
  2. Step 2: Convert to fraction form
    2,173.97/3,262.69 = 787.70/x
  3. Step 3: Cross multiply
    2,173.97x = 3,262.69 × 787.70
  4. Step 4: Simplify right side
    2,173.97x = 2,570,033.73
  5. Step 5: Solve for x
    x = 2,570,033.73/2,173.97
  6. Step 6: Final answer
    x = 1,182.18

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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.