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Finding the Fourth Proportional to 3,177.38, 4,384.78 and 1,935.38

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Solution

The fourth proportional to 3,177.38, 4,384.78 and 1,935.38 is: 2,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.38 : 4,384.78 = 1,935.38 : x
  2. Step 2: Convert to fraction form
    3,177.38/4,384.78 = 1,935.38/x
  3. Step 3: Cross multiply
    3,177.38x = 4,384.78 × 1,935.38
  4. Step 4: Simplify right side
    3,177.38x = 8,486,215.52
  5. Step 5: Solve for x
    x = 8,486,215.52/3,177.38
  6. Step 6: Final answer
    x = 2,670.82

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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.