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Finding the Fourth Proportional to 2,097.78, 3,146.98 and 1,001.25

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Solution

The fourth proportional to 2,097.78, 3,146.98 and 1,001.25 is: 1,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.78 : 3,146.98 = 1,001.25 : x
  2. Step 2: Convert to fraction form
    2,097.78/3,146.98 = 1,001.25/x
  3. Step 3: Cross multiply
    2,097.78x = 3,146.98 × 1,001.25
  4. Step 4: Simplify right side
    2,097.78x = 3,150,913.73
  5. Step 5: Solve for x
    x = 3,150,913.73/2,097.78
  6. Step 6: Final answer
    x = 1,502.02

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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.