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Finding the Fourth Proportional to 2,173.46, 3,261.06 and 787.43

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Solution

The fourth proportional to 2,173.46, 3,261.06 and 787.43 is: 1,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.46 : 3,261.06 = 787.43 : x
  2. Step 2: Convert to fraction form
    2,173.46/3,261.06 = 787.43/x
  3. Step 3: Cross multiply
    2,173.46x = 3,261.06 × 787.43
  4. Step 4: Simplify right side
    2,173.46x = 2,567,840.17
  5. Step 5: Solve for x
    x = 2,567,840.17/2,173.46
  6. Step 6: Final answer
    x = 1,181.46

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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.