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Finding the Fourth Proportional to 2,273.76, 3,411.60 and 887.52

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Solution

The fourth proportional to 2,273.76, 3,411.60 and 887.52 is: 1,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.76 : 3,411.60 = 887.52 : x
  2. Step 2: Convert to fraction form
    2,273.76/3,411.60 = 887.52/x
  3. Step 3: Cross multiply
    2,273.76x = 3,411.60 × 887.52
  4. Step 4: Simplify right side
    2,273.76x = 3,027,863.23
  5. Step 5: Solve for x
    x = 3,027,863.23/2,273.76
  6. Step 6: Final answer
    x = 1,331.65

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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.