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Finding the Fourth Proportional to 2,155.78, 2,974.65 and 1,224.26

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Solution

The fourth proportional to 2,155.78, 2,974.65 and 1,224.26 is: 1,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 2,974.65 = 1,224.26 : x
  2. Step 2: Convert to fraction form
    2,155.78/2,974.65 = 1,224.26/x
  3. Step 3: Cross multiply
    2,155.78x = 2,974.65 × 1,224.26
  4. Step 4: Simplify right side
    2,155.78x = 3,641,745.01
  5. Step 5: Solve for x
    x = 3,641,745.01/2,155.78
  6. Step 6: Final answer
    x = 1,689.29

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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.