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Finding the Fourth Proportional to 3,141.16, 4,711.74 and 832.66

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Solution

The fourth proportional to 3,141.16, 4,711.74 and 832.66 is: 1,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.16 : 4,711.74 = 832.66 : x
  2. Step 2: Convert to fraction form
    3,141.16/4,711.74 = 832.66/x
  3. Step 3: Cross multiply
    3,141.16x = 4,711.74 × 832.66
  4. Step 4: Simplify right side
    3,141.16x = 3,923,277.43
  5. Step 5: Solve for x
    x = 3,923,277.43/3,141.16
  6. Step 6: Final answer
    x = 1,248.99

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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.