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Finding the Fourth Proportional to 2,687.83, 4,032.20 and 838.90

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Solution

The fourth proportional to 2,687.83, 4,032.20 and 838.90 is: 1,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.83 : 4,032.20 = 838.90 : x
  2. Step 2: Convert to fraction form
    2,687.83/4,032.20 = 838.90/x
  3. Step 3: Cross multiply
    2,687.83x = 4,032.20 × 838.90
  4. Step 4: Simplify right side
    2,687.83x = 3,382,628.75
  5. Step 5: Solve for x
    x = 3,382,628.75/2,687.83
  6. Step 6: Final answer
    x = 1,258.50

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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.