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Finding the Fourth Proportional to 2,097.16, 2,894.09 and 1,212.97

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Solution

The fourth proportional to 2,097.16, 2,894.09 and 1,212.97 is: 1,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.16 : 2,894.09 = 1,212.97 : x
  2. Step 2: Convert to fraction form
    2,097.16/2,894.09 = 1,212.97/x
  3. Step 3: Cross multiply
    2,097.16x = 2,894.09 × 1,212.97
  4. Step 4: Simplify right side
    2,097.16x = 3,510,444.35
  5. Step 5: Solve for x
    x = 3,510,444.35/2,097.16
  6. Step 6: Final answer
    x = 1,673.90

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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.