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Finding the Fourth Proportional to 2,418.73, 3,627.22 and 1,032.21

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Solution

The fourth proportional to 2,418.73, 3,627.22 and 1,032.21 is: 1,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.73 : 3,627.22 = 1,032.21 : x
  2. Step 2: Convert to fraction form
    2,418.73/3,627.22 = 1,032.21/x
  3. Step 3: Cross multiply
    2,418.73x = 3,627.22 × 1,032.21
  4. Step 4: Simplify right side
    2,418.73x = 3,744,059.24
  5. Step 5: Solve for x
    x = 3,744,059.24/2,418.73
  6. Step 6: Final answer
    x = 1,547.94

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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.