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Finding the Fourth Proportional to 4,620.74, 6,932.34 and 1,334.12

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Solution

The fourth proportional to 4,620.74, 6,932.34 and 1,334.12 is: 2,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.74 : 6,932.34 = 1,334.12 : x
  2. Step 2: Convert to fraction form
    4,620.74/6,932.34 = 1,334.12/x
  3. Step 3: Cross multiply
    4,620.74x = 6,932.34 × 1,334.12
  4. Step 4: Simplify right side
    4,620.74x = 9,248,573.44
  5. Step 5: Solve for x
    x = 9,248,573.44/4,620.74
  6. Step 6: Final answer
    x = 2,001.54

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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.