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Finding the Fourth Proportional to 2,155.78, 2,974.95 and 1,224.22

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Solution

The fourth proportional to 2,155.78, 2,974.95 and 1,224.22 is: 1,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.78 : 2,974.95 = 1,224.22 : x
  2. Step 2: Convert to fraction form
    2,155.78/2,974.95 = 1,224.22/x
  3. Step 3: Cross multiply
    2,155.78x = 2,974.95 × 1,224.22
  4. Step 4: Simplify right side
    2,155.78x = 3,641,993.29
  5. Step 5: Solve for x
    x = 3,641,993.29/2,155.78
  6. Step 6: Final answer
    x = 1,689.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.