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Finding the Fourth Proportional to 2,754.21, 3,801.43 and 2,155.52

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Solution

The fourth proportional to 2,754.21, 3,801.43 and 2,155.52 is: 2,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.21 : 3,801.43 = 2,155.52 : x
  2. Step 2: Convert to fraction form
    2,754.21/3,801.43 = 2,155.52/x
  3. Step 3: Cross multiply
    2,754.21x = 3,801.43 × 2,155.52
  4. Step 4: Simplify right side
    2,754.21x = 8,194,070.59
  5. Step 5: Solve for x
    x = 8,194,070.59/2,754.21
  6. Step 6: Final answer
    x = 2,975.10

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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.