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Finding the Fourth Proportional to 2,835.75, 4,253.24 and 755.93

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Solution

The fourth proportional to 2,835.75, 4,253.24 and 755.93 is: 1,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.75 : 4,253.24 = 755.93 : x
  2. Step 2: Convert to fraction form
    2,835.75/4,253.24 = 755.93/x
  3. Step 3: Cross multiply
    2,835.75x = 4,253.24 × 755.93
  4. Step 4: Simplify right side
    2,835.75x = 3,215,126.67
  5. Step 5: Solve for x
    x = 3,215,126.67/2,835.75
  6. Step 6: Final answer
    x = 1,133.78

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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.