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Finding the Fourth Proportional to 2,097.13, 2,894.46 and 1,213.22

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Solution

The fourth proportional to 2,097.13, 2,894.46 and 1,213.22 is: 1,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.13 : 2,894.46 = 1,213.22 : x
  2. Step 2: Convert to fraction form
    2,097.13/2,894.46 = 1,213.22/x
  3. Step 3: Cross multiply
    2,097.13x = 2,894.46 × 1,213.22
  4. Step 4: Simplify right side
    2,097.13x = 3,511,616.76
  5. Step 5: Solve for x
    x = 3,511,616.76/2,097.13
  6. Step 6: Final answer
    x = 1,674.49

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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.