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Finding the Fourth Proportional to 2,508.97, 3,458.38 and 1,977.01

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Solution

The fourth proportional to 2,508.97, 3,458.38 and 1,977.01 is: 2,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.97 : 3,458.38 = 1,977.01 : x
  2. Step 2: Convert to fraction form
    2,508.97/3,458.38 = 1,977.01/x
  3. Step 3: Cross multiply
    2,508.97x = 3,458.38 × 1,977.01
  4. Step 4: Simplify right side
    2,508.97x = 6,837,251.84
  5. Step 5: Solve for x
    x = 6,837,251.84/2,508.97
  6. Step 6: Final answer
    x = 2,725.12

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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.