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Finding the Fourth Proportional to 1,670.82, 2,507.86 and 793.91

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Solution

The fourth proportional to 1,670.82, 2,507.86 and 793.91 is: 1,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.82 : 2,507.86 = 793.91 : x
  2. Step 2: Convert to fraction form
    1,670.82/2,507.86 = 793.91/x
  3. Step 3: Cross multiply
    1,670.82x = 2,507.86 × 793.91
  4. Step 4: Simplify right side
    1,670.82x = 1,991,022.39
  5. Step 5: Solve for x
    x = 1,991,022.39/1,670.82
  6. Step 6: Final answer
    x = 1,191.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.