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Finding the Fourth Proportional to 3,155.68, 4,733.34 and 847

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Solution

The fourth proportional to 3,155.68, 4,733.34 and 847 is: 1,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.68 : 4,733.34 = 847 : x
  2. Step 2: Convert to fraction form
    3,155.68/4,733.34 = 847/x
  3. Step 3: Cross multiply
    3,155.68x = 4,733.34 × 847
  4. Step 4: Simplify right side
    3,155.68x = 4,009,138.98
  5. Step 5: Solve for x
    x = 4,009,138.98/3,155.68
  6. Step 6: Final answer
    x = 1,270.45

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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.