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Finding the Fourth Proportional to 2,362.78, 3,265.13 and 1,772.29

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Solution

The fourth proportional to 2,362.78, 3,265.13 and 1,772.29 is: 2,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.78 : 3,265.13 = 1,772.29 : x
  2. Step 2: Convert to fraction form
    2,362.78/3,265.13 = 1,772.29/x
  3. Step 3: Cross multiply
    2,362.78x = 3,265.13 × 1,772.29
  4. Step 4: Simplify right side
    2,362.78x = 5,786,732.06
  5. Step 5: Solve for x
    x = 5,786,732.06/2,362.78
  6. Step 6: Final answer
    x = 2,449.13

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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.