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Finding the Fourth Proportional to 2,794.81, 4,192.82 and 847.16

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Solution

The fourth proportional to 2,794.81, 4,192.82 and 847.16 is: 1,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.81 : 4,192.82 = 847.16 : x
  2. Step 2: Convert to fraction form
    2,794.81/4,192.82 = 847.16/x
  3. Step 3: Cross multiply
    2,794.81x = 4,192.82 × 847.16
  4. Step 4: Simplify right side
    2,794.81x = 3,551,989.39
  5. Step 5: Solve for x
    x = 3,551,989.39/2,794.81
  6. Step 6: Final answer
    x = 1,270.92

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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.