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Finding the Fourth Proportional to 2,097.48, 2,894.50 and 1,213.27

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Solution

The fourth proportional to 2,097.48, 2,894.50 and 1,213.27 is: 1,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.48 : 2,894.50 = 1,213.27 : x
  2. Step 2: Convert to fraction form
    2,097.48/2,894.50 = 1,213.27/x
  3. Step 3: Cross multiply
    2,097.48x = 2,894.50 × 1,213.27
  4. Step 4: Simplify right side
    2,097.48x = 3,511,804.30
  5. Step 5: Solve for x
    x = 3,511,804.30/2,097.48
  6. Step 6: Final answer
    x = 1,674.29

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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.