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Finding the Fourth Proportional to 2,162.81, 3,228.41 and 1,856.63

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Solution

The fourth proportional to 2,162.81, 3,228.41 and 1,856.63 is: 2,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.81 : 3,228.41 = 1,856.63 : x
  2. Step 2: Convert to fraction form
    2,162.81/3,228.41 = 1,856.63/x
  3. Step 3: Cross multiply
    2,162.81x = 3,228.41 × 1,856.63
  4. Step 4: Simplify right side
    2,162.81x = 5,993,975.57
  5. Step 5: Solve for x
    x = 5,993,975.57/2,162.81
  6. Step 6: Final answer
    x = 2,771.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.