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Finding the Fourth Proportional to 2,702.88, 3,728.16 and 2,115.36

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Solution

The fourth proportional to 2,702.88, 3,728.16 and 2,115.36 is: 2,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.88 : 3,728.16 = 2,115.36 : x
  2. Step 2: Convert to fraction form
    2,702.88/3,728.16 = 2,115.36/x
  3. Step 3: Cross multiply
    2,702.88x = 3,728.16 × 2,115.36
  4. Step 4: Simplify right side
    2,702.88x = 7,886,400.54
  5. Step 5: Solve for x
    x = 7,886,400.54/2,702.88
  6. Step 6: Final answer
    x = 2,917.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.