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Finding the Fourth Proportional to 2,097.80, 2,893.20 and 1,767

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Solution

The fourth proportional to 2,097.80, 2,893.20 and 1,767 is: 2,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.80 : 2,893.20 = 1,767 : x
  2. Step 2: Convert to fraction form
    2,097.80/2,893.20 = 1,767/x
  3. Step 3: Cross multiply
    2,097.80x = 2,893.20 × 1,767
  4. Step 4: Simplify right side
    2,097.80x = 5,112,284.40
  5. Step 5: Solve for x
    x = 5,112,284.40/2,097.80
  6. Step 6: Final answer
    x = 2,436.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.