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Finding the Fourth Proportional to 2,097.63, 3,152.21 and 1,278.27

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Solution

The fourth proportional to 2,097.63, 3,152.21 and 1,278.27 is: 1,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.63 : 3,152.21 = 1,278.27 : x
  2. Step 2: Convert to fraction form
    2,097.63/3,152.21 = 1,278.27/x
  3. Step 3: Cross multiply
    2,097.63x = 3,152.21 × 1,278.27
  4. Step 4: Simplify right side
    2,097.63x = 4,029,369.09
  5. Step 5: Solve for x
    x = 4,029,369.09/2,097.63
  6. Step 6: Final answer
    x = 1,920.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.