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Finding the Fourth Proportional to 2,784.82, 4,178.13 and 936.78

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Solution

The fourth proportional to 2,784.82, 4,178.13 and 936.78 is: 1,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.82 : 4,178.13 = 936.78 : x
  2. Step 2: Convert to fraction form
    2,784.82/4,178.13 = 936.78/x
  3. Step 3: Cross multiply
    2,784.82x = 4,178.13 × 936.78
  4. Step 4: Simplify right side
    2,784.82x = 3,913,988.62
  5. Step 5: Solve for x
    x = 3,913,988.62/2,784.82
  6. Step 6: Final answer
    x = 1,405.47

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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.