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Finding the Fourth Proportional to 2,702.42, 3,726.91 and 2,305.51

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Solution

The fourth proportional to 2,702.42, 3,726.91 and 2,305.51 is: 3,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.42 : 3,726.91 = 2,305.51 : x
  2. Step 2: Convert to fraction form
    2,702.42/3,726.91 = 2,305.51/x
  3. Step 3: Cross multiply
    2,702.42x = 3,726.91 × 2,305.51
  4. Step 4: Simplify right side
    2,702.42x = 8,592,413.19
  5. Step 5: Solve for x
    x = 8,592,413.19/2,702.42
  6. Step 6: Final answer
    x = 3,179.53

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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.