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Finding the Fourth Proportional to 1,812.31, 2,717.69 and 641.95

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Solution

The fourth proportional to 1,812.31, 2,717.69 and 641.95 is: 962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.31 : 2,717.69 = 641.95 : x
  2. Step 2: Convert to fraction form
    1,812.31/2,717.69 = 641.95/x
  3. Step 3: Cross multiply
    1,812.31x = 2,717.69 × 641.95
  4. Step 4: Simplify right side
    1,812.31x = 1,744,611.09
  5. Step 5: Solve for x
    x = 1,744,611.09/1,812.31
  6. Step 6: Final answer
    x = 962.65

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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.