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Finding the Fourth Proportional to 2,497.80, 3,745.62 and 1,921.08

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Solution

The fourth proportional to 2,497.80, 3,745.62 and 1,921.08 is: 2,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.80 : 3,745.62 = 1,921.08 : x
  2. Step 2: Convert to fraction form
    2,497.80/3,745.62 = 1,921.08/x
  3. Step 3: Cross multiply
    2,497.80x = 3,745.62 × 1,921.08
  4. Step 4: Simplify right side
    2,497.80x = 7,195,635.67
  5. Step 5: Solve for x
    x = 7,195,635.67/2,497.80
  6. Step 6: Final answer
    x = 2,880.79

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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.