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Finding the Fourth Proportional to 2,633.29, 3,633.52 and 1,571

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Solution

The fourth proportional to 2,633.29, 3,633.52 and 1,571 is: 2,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.29 : 3,633.52 = 1,571 : x
  2. Step 2: Convert to fraction form
    2,633.29/3,633.52 = 1,571/x
  3. Step 3: Cross multiply
    2,633.29x = 3,633.52 × 1,571
  4. Step 4: Simplify right side
    2,633.29x = 5,708,259.92
  5. Step 5: Solve for x
    x = 5,708,259.92/2,633.29
  6. Step 6: Final answer
    x = 2,167.73

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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.