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Finding the Fourth Proportional to 2,983.64, 4,475.74 and 1,228.24

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Solution

The fourth proportional to 2,983.64, 4,475.74 and 1,228.24 is: 1,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.64 : 4,475.74 = 1,228.24 : x
  2. Step 2: Convert to fraction form
    2,983.64/4,475.74 = 1,228.24/x
  3. Step 3: Cross multiply
    2,983.64x = 4,475.74 × 1,228.24
  4. Step 4: Simplify right side
    2,983.64x = 5,497,282.90
  5. Step 5: Solve for x
    x = 5,497,282.90/2,983.64
  6. Step 6: Final answer
    x = 1,842.48

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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.