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Finding the Fourth Proportional to 1,702.94, 2,550.89 and 822.85

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Solution

The fourth proportional to 1,702.94, 2,550.89 and 822.85 is: 1,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.94 : 2,550.89 = 822.85 : x
  2. Step 2: Convert to fraction form
    1,702.94/2,550.89 = 822.85/x
  3. Step 3: Cross multiply
    1,702.94x = 2,550.89 × 822.85
  4. Step 4: Simplify right side
    1,702.94x = 2,098,989.35
  5. Step 5: Solve for x
    x = 2,098,989.35/1,702.94
  6. Step 6: Final answer
    x = 1,232.57

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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.