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Finding the Fourth Proportional to 2,183, 3,275.55 and 1,087.46

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Solution

The fourth proportional to 2,183, 3,275.55 and 1,087.46 is: 1,631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183 : 3,275.55 = 1,087.46 : x
  2. Step 2: Convert to fraction form
    2,183/3,275.55 = 1,087.46/x
  3. Step 3: Cross multiply
    2,183x = 3,275.55 × 1,087.46
  4. Step 4: Simplify right side
    2,183x = 3,562,029.60
  5. Step 5: Solve for x
    x = 3,562,029.60/2,183
  6. Step 6: Final answer
    x = 1,631.71

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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.