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Finding the Fourth Proportional to 1,817.57, 2,725.60 and 1,123.22

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Solution

The fourth proportional to 1,817.57, 2,725.60 and 1,123.22 is: 1,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.57 : 2,725.60 = 1,123.22 : x
  2. Step 2: Convert to fraction form
    1,817.57/2,725.60 = 1,123.22/x
  3. Step 3: Cross multiply
    1,817.57x = 2,725.60 × 1,123.22
  4. Step 4: Simplify right side
    1,817.57x = 3,061,448.43
  5. Step 5: Solve for x
    x = 3,061,448.43/1,817.57
  6. Step 6: Final answer
    x = 1,684.36

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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.