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Finding the Fourth Proportional to 2,186.92, 3,015.60 and 1,440.80

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Solution

The fourth proportional to 2,186.92, 3,015.60 and 1,440.80 is: 1,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.92 : 3,015.60 = 1,440.80 : x
  2. Step 2: Convert to fraction form
    2,186.92/3,015.60 = 1,440.80/x
  3. Step 3: Cross multiply
    2,186.92x = 3,015.60 × 1,440.80
  4. Step 4: Simplify right side
    2,186.92x = 4,344,876.48
  5. Step 5: Solve for x
    x = 4,344,876.48/2,186.92
  6. Step 6: Final answer
    x = 1,986.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.