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Finding the Fourth Proportional to 2,097.39, 3,146.29 and 927.25

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Solution

The fourth proportional to 2,097.39, 3,146.29 and 927.25 is: 1,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.39 : 3,146.29 = 927.25 : x
  2. Step 2: Convert to fraction form
    2,097.39/3,146.29 = 927.25/x
  3. Step 3: Cross multiply
    2,097.39x = 3,146.29 × 927.25
  4. Step 4: Simplify right side
    2,097.39x = 2,917,392.43
  5. Step 5: Solve for x
    x = 2,917,392.43/2,097.39
  6. Step 6: Final answer
    x = 1,390.96

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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.