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Finding the Fourth Proportional to 3,141, 4,711.78 and 832.50

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Solution

The fourth proportional to 3,141, 4,711.78 and 832.50 is: 1,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141 : 4,711.78 = 832.50 : x
  2. Step 2: Convert to fraction form
    3,141/4,711.78 = 832.50/x
  3. Step 3: Cross multiply
    3,141x = 4,711.78 × 832.50
  4. Step 4: Simplify right side
    3,141x = 3,922,556.85
  5. Step 5: Solve for x
    x = 3,922,556.85/3,141
  6. Step 6: Final answer
    x = 1,248.82

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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.