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Finding the Fourth Proportional to 2,818.16, 4,226.16 and 1,949.84

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Solution

The fourth proportional to 2,818.16, 4,226.16 and 1,949.84 is: 2,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.16 : 4,226.16 = 1,949.84 : x
  2. Step 2: Convert to fraction form
    2,818.16/4,226.16 = 1,949.84/x
  3. Step 3: Cross multiply
    2,818.16x = 4,226.16 × 1,949.84
  4. Step 4: Simplify right side
    2,818.16x = 8,240,335.81
  5. Step 5: Solve for x
    x = 8,240,335.81/2,818.16
  6. Step 6: Final answer
    x = 2,924.01

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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.