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Finding the Fourth Proportional to 2,097.06, 3,147.12 and 1,691.10

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Solution

The fourth proportional to 2,097.06, 3,147.12 and 1,691.10 is: 2,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.06 : 3,147.12 = 1,691.10 : x
  2. Step 2: Convert to fraction form
    2,097.06/3,147.12 = 1,691.10/x
  3. Step 3: Cross multiply
    2,097.06x = 3,147.12 × 1,691.10
  4. Step 4: Simplify right side
    2,097.06x = 5,322,094.63
  5. Step 5: Solve for x
    x = 5,322,094.63/2,097.06
  6. Step 6: Final answer
    x = 2,537.88

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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.