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Finding the Fourth Proportional to 2,334.15, 3,501.39 and 774.27

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Solution

The fourth proportional to 2,334.15, 3,501.39 and 774.27 is: 1,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.15 : 3,501.39 = 774.27 : x
  2. Step 2: Convert to fraction form
    2,334.15/3,501.39 = 774.27/x
  3. Step 3: Cross multiply
    2,334.15x = 3,501.39 × 774.27
  4. Step 4: Simplify right side
    2,334.15x = 2,711,021.24
  5. Step 5: Solve for x
    x = 2,711,021.24/2,334.15
  6. Step 6: Final answer
    x = 1,161.46

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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.