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Finding the Fourth Proportional to 2,753.58, 3,800.25 and 1,914.06

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Solution

The fourth proportional to 2,753.58, 3,800.25 and 1,914.06 is: 2,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.58 : 3,800.25 = 1,914.06 : x
  2. Step 2: Convert to fraction form
    2,753.58/3,800.25 = 1,914.06/x
  3. Step 3: Cross multiply
    2,753.58x = 3,800.25 × 1,914.06
  4. Step 4: Simplify right side
    2,753.58x = 7,273,906.52
  5. Step 5: Solve for x
    x = 7,273,906.52/2,753.58
  6. Step 6: Final answer
    x = 2,641.62

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1.5x scale

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.