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Finding the Fourth Proportional to 2,772.71, 3,826.32 and 1,593.78

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Solution

The fourth proportional to 2,772.71, 3,826.32 and 1,593.78 is: 2,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.71 : 3,826.32 = 1,593.78 : x
  2. Step 2: Convert to fraction form
    2,772.71/3,826.32 = 1,593.78/x
  3. Step 3: Cross multiply
    2,772.71x = 3,826.32 × 1,593.78
  4. Step 4: Simplify right side
    2,772.71x = 6,098,312.29
  5. Step 5: Solve for x
    x = 6,098,312.29/2,772.71
  6. Step 6: Final answer
    x = 2,199.41

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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.