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Finding the Fourth Proportional to 2,497.16, 3,745.73 and 1,949.80

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Solution

The fourth proportional to 2,497.16, 3,745.73 and 1,949.80 is: 2,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.16 : 3,745.73 = 1,949.80 : x
  2. Step 2: Convert to fraction form
    2,497.16/3,745.73 = 1,949.80/x
  3. Step 3: Cross multiply
    2,497.16x = 3,745.73 × 1,949.80
  4. Step 4: Simplify right side
    2,497.16x = 7,303,424.35
  5. Step 5: Solve for x
    x = 7,303,424.35/2,497.16
  6. Step 6: Final answer
    x = 2,924.69

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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.