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Finding the Fourth Proportional to 2,334.16, 3,500.50 and 773.82

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Solution

The fourth proportional to 2,334.16, 3,500.50 and 773.82 is: 1,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.16 : 3,500.50 = 773.82 : x
  2. Step 2: Convert to fraction form
    2,334.16/3,500.50 = 773.82/x
  3. Step 3: Cross multiply
    2,334.16x = 3,500.50 × 773.82
  4. Step 4: Simplify right side
    2,334.16x = 2,708,756.91
  5. Step 5: Solve for x
    x = 2,708,756.91/2,334.16
  6. Step 6: Final answer
    x = 1,160.48

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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.