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Finding the Fourth Proportional to 2,822.53, 4,224.84 and 2,298.06

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Solution

The fourth proportional to 2,822.53, 4,224.84 and 2,298.06 is: 3,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.53 : 4,224.84 = 2,298.06 : x
  2. Step 2: Convert to fraction form
    2,822.53/4,224.84 = 2,298.06/x
  3. Step 3: Cross multiply
    2,822.53x = 4,224.84 × 2,298.06
  4. Step 4: Simplify right side
    2,822.53x = 9,708,935.81
  5. Step 5: Solve for x
    x = 9,708,935.81/2,822.53
  6. Step 6: Final answer
    x = 3,439.80

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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.