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Finding the Fourth Proportional to 2,495.57, 3,740.92 and 1,197.95

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Solution

The fourth proportional to 2,495.57, 3,740.92 and 1,197.95 is: 1,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.57 : 3,740.92 = 1,197.95 : x
  2. Step 2: Convert to fraction form
    2,495.57/3,740.92 = 1,197.95/x
  3. Step 3: Cross multiply
    2,495.57x = 3,740.92 × 1,197.95
  4. Step 4: Simplify right side
    2,495.57x = 4,481,413.41
  5. Step 5: Solve for x
    x = 4,481,413.41/2,495.57
  6. Step 6: Final answer
    x = 1,795.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.