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Finding the Fourth Proportional to 2,633.68, 3,635.27 and 1,572.22

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Solution

The fourth proportional to 2,633.68, 3,635.27 and 1,572.22 is: 2,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.68 : 3,635.27 = 1,572.22 : x
  2. Step 2: Convert to fraction form
    2,633.68/3,635.27 = 1,572.22/x
  3. Step 3: Cross multiply
    2,633.68x = 3,635.27 × 1,572.22
  4. Step 4: Simplify right side
    2,633.68x = 5,715,444.20
  5. Step 5: Solve for x
    x = 5,715,444.20/2,633.68
  6. Step 6: Final answer
    x = 2,170.14

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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.