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Finding the Fourth Proportional to 2,496.25, 3,714.90 and 2,413.19

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Solution

The fourth proportional to 2,496.25, 3,714.90 and 2,413.19 is: 3,591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.25 : 3,714.90 = 2,413.19 : x
  2. Step 2: Convert to fraction form
    2,496.25/3,714.90 = 2,413.19/x
  3. Step 3: Cross multiply
    2,496.25x = 3,714.90 × 2,413.19
  4. Step 4: Simplify right side
    2,496.25x = 8,964,759.53
  5. Step 5: Solve for x
    x = 8,964,759.53/2,496.25
  6. Step 6: Final answer
    x = 3,591.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.