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Finding the Fourth Proportional to 1,823.73, 2,517.20 and 1,038.24

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Solution

The fourth proportional to 1,823.73, 2,517.20 and 1,038.24 is: 1,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.73 : 2,517.20 = 1,038.24 : x
  2. Step 2: Convert to fraction form
    1,823.73/2,517.20 = 1,038.24/x
  3. Step 3: Cross multiply
    1,823.73x = 2,517.20 × 1,038.24
  4. Step 4: Simplify right side
    1,823.73x = 2,613,452.54
  5. Step 5: Solve for x
    x = 2,613,452.54/1,823.73
  6. Step 6: Final answer
    x = 1,433.03

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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.