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Finding the Fourth Proportional to 2,754.67, 4,132.15 and 2,097.58

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Solution

The fourth proportional to 2,754.67, 4,132.15 and 2,097.58 is: 3,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.67 : 4,132.15 = 2,097.58 : x
  2. Step 2: Convert to fraction form
    2,754.67/4,132.15 = 2,097.58/x
  3. Step 3: Cross multiply
    2,754.67x = 4,132.15 × 2,097.58
  4. Step 4: Simplify right side
    2,754.67x = 8,667,515.20
  5. Step 5: Solve for x
    x = 8,667,515.20/2,754.67
  6. Step 6: Final answer
    x = 3,146.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.