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Finding the Fourth Proportional to 3,278.88, 4,917.60 and 938.64

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Solution

The fourth proportional to 3,278.88, 4,917.60 and 938.64 is: 1,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.88 : 4,917.60 = 938.64 : x
  2. Step 2: Convert to fraction form
    3,278.88/4,917.60 = 938.64/x
  3. Step 3: Cross multiply
    3,278.88x = 4,917.60 × 938.64
  4. Step 4: Simplify right side
    3,278.88x = 4,615,856.06
  5. Step 5: Solve for x
    x = 4,615,856.06/3,278.88
  6. Step 6: Final answer
    x = 1,407.75

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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.