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Finding the Fourth Proportional to 1,817.65, 2,505.94 and 1,633.12

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Solution

The fourth proportional to 1,817.65, 2,505.94 and 1,633.12 is: 2,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.65 : 2,505.94 = 1,633.12 : x
  2. Step 2: Convert to fraction form
    1,817.65/2,505.94 = 1,633.12/x
  3. Step 3: Cross multiply
    1,817.65x = 2,505.94 × 1,633.12
  4. Step 4: Simplify right side
    1,817.65x = 4,092,490.39
  5. Step 5: Solve for x
    x = 4,092,490.39/1,817.65
  6. Step 6: Final answer
    x = 2,251.53

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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.