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Finding the Fourth Proportional to 2,784.83, 4,177.78 and 935.97

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Solution

The fourth proportional to 2,784.83, 4,177.78 and 935.97 is: 1,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.83 : 4,177.78 = 935.97 : x
  2. Step 2: Convert to fraction form
    2,784.83/4,177.78 = 935.97/x
  3. Step 3: Cross multiply
    2,784.83x = 4,177.78 × 935.97
  4. Step 4: Simplify right side
    2,784.83x = 3,910,276.75
  5. Step 5: Solve for x
    x = 3,910,276.75/2,784.83
  6. Step 6: Final answer
    x = 1,404.13

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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.