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Finding the Fourth Proportional to 2,642.22, 3,647.97 and 1,647.90

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Solution

The fourth proportional to 2,642.22, 3,647.97 and 1,647.90 is: 2,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.22 : 3,647.97 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    2,642.22/3,647.97 = 1,647.90/x
  3. Step 3: Cross multiply
    2,642.22x = 3,647.97 × 1,647.90
  4. Step 4: Simplify right side
    2,642.22x = 6,011,489.76
  5. Step 5: Solve for x
    x = 6,011,489.76/2,642.22
  6. Step 6: Final answer
    x = 2,275.17

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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.