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Finding the Fourth Proportional to 2,038.24, 3,059 and 1,960.48

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Solution

The fourth proportional to 2,038.24, 3,059 and 1,960.48 is: 2,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.24 : 3,059 = 1,960.48 : x
  2. Step 2: Convert to fraction form
    2,038.24/3,059 = 1,960.48/x
  3. Step 3: Cross multiply
    2,038.24x = 3,059 × 1,960.48
  4. Step 4: Simplify right side
    2,038.24x = 5,997,108.32
  5. Step 5: Solve for x
    x = 5,997,108.32/2,038.24
  6. Step 6: Final answer
    x = 2,942.30

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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.