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Finding the Fourth Proportional to 2,040.64, 3,060.46 and 943.96

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Solution

The fourth proportional to 2,040.64, 3,060.46 and 943.96 is: 1,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.64 : 3,060.46 = 943.96 : x
  2. Step 2: Convert to fraction form
    2,040.64/3,060.46 = 943.96/x
  3. Step 3: Cross multiply
    2,040.64x = 3,060.46 × 943.96
  4. Step 4: Simplify right side
    2,040.64x = 2,888,951.82
  5. Step 5: Solve for x
    x = 2,888,951.82/2,040.64
  6. Step 6: Final answer
    x = 1,415.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.