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Finding the Fourth Proportional to 2,097.27, 2,894.58 and 1,213.58

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Solution

The fourth proportional to 2,097.27, 2,894.58 and 1,213.58 is: 1,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.27 : 2,894.58 = 1,213.58 : x
  2. Step 2: Convert to fraction form
    2,097.27/2,894.58 = 1,213.58/x
  3. Step 3: Cross multiply
    2,097.27x = 2,894.58 × 1,213.58
  4. Step 4: Simplify right side
    2,097.27x = 3,512,804.40
  5. Step 5: Solve for x
    x = 3,512,804.40/2,097.27
  6. Step 6: Final answer
    x = 1,674.94

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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.