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Finding the Fourth Proportional to 1,702.86, 2,554.38 and 825.24

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Solution

The fourth proportional to 1,702.86, 2,554.38 and 825.24 is: 1,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.86 : 2,554.38 = 825.24 : x
  2. Step 2: Convert to fraction form
    1,702.86/2,554.38 = 825.24/x
  3. Step 3: Cross multiply
    1,702.86x = 2,554.38 × 825.24
  4. Step 4: Simplify right side
    1,702.86x = 2,107,976.55
  5. Step 5: Solve for x
    x = 2,107,976.55/1,702.86
  6. Step 6: Final answer
    x = 1,237.90

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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.