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Finding the Fourth Proportional to 2,273.71, 3,410.96 and 887.80

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Solution

The fourth proportional to 2,273.71, 3,410.96 and 887.80 is: 1,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.71 : 3,410.96 = 887.80 : x
  2. Step 2: Convert to fraction form
    2,273.71/3,410.96 = 887.80/x
  3. Step 3: Cross multiply
    2,273.71x = 3,410.96 × 887.80
  4. Step 4: Simplify right side
    2,273.71x = 3,028,250.29
  5. Step 5: Solve for x
    x = 3,028,250.29/2,273.71
  6. Step 6: Final answer
    x = 1,331.85

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1.5x scale

Why These Related Problems?

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