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Finding the Fourth Proportional to 2,097.39, 2,894.60 and 1,213.35

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Solution

The fourth proportional to 2,097.39, 2,894.60 and 1,213.35 is: 1,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.39 : 2,894.60 = 1,213.35 : x
  2. Step 2: Convert to fraction form
    2,097.39/2,894.60 = 1,213.35/x
  3. Step 3: Cross multiply
    2,097.39x = 2,894.60 × 1,213.35
  4. Step 4: Simplify right side
    2,097.39x = 3,512,156.84
  5. Step 5: Solve for x
    x = 3,512,156.84/2,097.39
  6. Step 6: Final answer
    x = 1,674.54

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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.