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Finding the Fourth Proportional to 2,500.97, 3,451.32 and 1,382

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Solution

The fourth proportional to 2,500.97, 3,451.32 and 1,382 is: 1,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.97 : 3,451.32 = 1,382 : x
  2. Step 2: Convert to fraction form
    2,500.97/3,451.32 = 1,382/x
  3. Step 3: Cross multiply
    2,500.97x = 3,451.32 × 1,382
  4. Step 4: Simplify right side
    2,500.97x = 4,769,724.24
  5. Step 5: Solve for x
    x = 4,769,724.24/2,500.97
  6. Step 6: Final answer
    x = 1,907.15

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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.