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Finding the Fourth Proportional to 2,642.95, 3,645.73 and 1,635.05

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Solution

The fourth proportional to 2,642.95, 3,645.73 and 1,635.05 is: 2,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.95 : 3,645.73 = 1,635.05 : x
  2. Step 2: Convert to fraction form
    2,642.95/3,645.73 = 1,635.05/x
  3. Step 3: Cross multiply
    2,642.95x = 3,645.73 × 1,635.05
  4. Step 4: Simplify right side
    2,642.95x = 5,960,961.99
  5. Step 5: Solve for x
    x = 5,960,961.99/2,642.95
  6. Step 6: Final answer
    x = 2,255.42

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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.