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Finding the Fourth Proportional to 2,754.59, 3,801.42 and 1,635.53

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Solution

The fourth proportional to 2,754.59, 3,801.42 and 1,635.53 is: 2,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.59 : 3,801.42 = 1,635.53 : x
  2. Step 2: Convert to fraction form
    2,754.59/3,801.42 = 1,635.53/x
  3. Step 3: Cross multiply
    2,754.59x = 3,801.42 × 1,635.53
  4. Step 4: Simplify right side
    2,754.59x = 6,217,328.27
  5. Step 5: Solve for x
    x = 6,217,328.27/2,754.59
  6. Step 6: Final answer
    x = 2,257.08

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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.