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Finding the Fourth Proportional to 2,635.87, 3,634.53 and 1,797.06

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Solution

The fourth proportional to 2,635.87, 3,634.53 and 1,797.06 is: 2,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.87 : 3,634.53 = 1,797.06 : x
  2. Step 2: Convert to fraction form
    2,635.87/3,634.53 = 1,797.06/x
  3. Step 3: Cross multiply
    2,635.87x = 3,634.53 × 1,797.06
  4. Step 4: Simplify right side
    2,635.87x = 6,531,468.48
  5. Step 5: Solve for x
    x = 6,531,468.48/2,635.87
  6. Step 6: Final answer
    x = 2,477.92

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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.