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Finding the Fourth Proportional to 2,334.76, 3,502.20 and 775.44

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Solution

The fourth proportional to 2,334.76, 3,502.20 and 775.44 is: 1,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.76 : 3,502.20 = 775.44 : x
  2. Step 2: Convert to fraction form
    2,334.76/3,502.20 = 775.44/x
  3. Step 3: Cross multiply
    2,334.76x = 3,502.20 × 775.44
  4. Step 4: Simplify right side
    2,334.76x = 2,715,728.46
  5. Step 5: Solve for x
    x = 2,715,728.46/2,334.76
  6. Step 6: Final answer
    x = 1,163.17

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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.