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Finding the Fourth Proportional to 2,784.85, 4,177.44 and 837

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Solution

The fourth proportional to 2,784.85, 4,177.44 and 837 is: 1,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.85 : 4,177.44 = 837 : x
  2. Step 2: Convert to fraction form
    2,784.85/4,177.44 = 837/x
  3. Step 3: Cross multiply
    2,784.85x = 4,177.44 × 837
  4. Step 4: Simplify right side
    2,784.85x = 3,496,517.28
  5. Step 5: Solve for x
    x = 3,496,517.28/2,784.85
  6. Step 6: Final answer
    x = 1,255.55

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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.