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Finding the Fourth Proportional to 1,817.49, 2,510.18 and 1,227

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Solution

The fourth proportional to 1,817.49, 2,510.18 and 1,227 is: 1,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.49 : 2,510.18 = 1,227 : x
  2. Step 2: Convert to fraction form
    1,817.49/2,510.18 = 1,227/x
  3. Step 3: Cross multiply
    1,817.49x = 2,510.18 × 1,227
  4. Step 4: Simplify right side
    1,817.49x = 3,079,990.86
  5. Step 5: Solve for x
    x = 3,079,990.86/1,817.49
  6. Step 6: Final answer
    x = 1,694.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.