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Finding the Fourth Proportional to 2,822.64, 4,216.74 and 2,246.16

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Solution

The fourth proportional to 2,822.64, 4,216.74 and 2,246.16 is: 3,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.64 : 4,216.74 = 2,246.16 : x
  2. Step 2: Convert to fraction form
    2,822.64/4,216.74 = 2,246.16/x
  3. Step 3: Cross multiply
    2,822.64x = 4,216.74 × 2,246.16
  4. Step 4: Simplify right side
    2,822.64x = 9,471,472.72
  5. Step 5: Solve for x
    x = 9,471,472.72/2,822.64
  6. Step 6: Final answer
    x = 3,355.54

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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.