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Finding the Fourth Proportional to 2,120.76, 3,181.32 and 1,253.25

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Solution

The fourth proportional to 2,120.76, 3,181.32 and 1,253.25 is: 1,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.76 : 3,181.32 = 1,253.25 : x
  2. Step 2: Convert to fraction form
    2,120.76/3,181.32 = 1,253.25/x
  3. Step 3: Cross multiply
    2,120.76x = 3,181.32 × 1,253.25
  4. Step 4: Simplify right side
    2,120.76x = 3,986,989.29
  5. Step 5: Solve for x
    x = 3,986,989.29/2,120.76
  6. Step 6: Final answer
    x = 1,879.98

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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.