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Finding the Fourth Proportional to 2,642.21, 3,646.22 and 1,447.17

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Solution

The fourth proportional to 2,642.21, 3,646.22 and 1,447.17 is: 1,997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.21 : 3,646.22 = 1,447.17 : x
  2. Step 2: Convert to fraction form
    2,642.21/3,646.22 = 1,447.17/x
  3. Step 3: Cross multiply
    2,642.21x = 3,646.22 × 1,447.17
  4. Step 4: Simplify right side
    2,642.21x = 5,276,692.96
  5. Step 5: Solve for x
    x = 5,276,692.96/2,642.21
  6. Step 6: Final answer
    x = 1,997.08

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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.