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Finding the Fourth Proportional to 2,983.57, 4,474.13 and 1,295.08

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Solution

The fourth proportional to 2,983.57, 4,474.13 and 1,295.08 is: 1,942.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.57 : 4,474.13 = 1,295.08 : x
  2. Step 2: Convert to fraction form
    2,983.57/4,474.13 = 1,295.08/x
  3. Step 3: Cross multiply
    2,983.57x = 4,474.13 × 1,295.08
  4. Step 4: Simplify right side
    2,983.57x = 5,794,342.26
  5. Step 5: Solve for x
    x = 5,794,342.26/2,983.57
  6. Step 6: Final answer
    x = 1,942.08

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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.