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Finding the Fourth Proportional to 3,176.32, 4,764.92 and 985.22

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Solution

The fourth proportional to 3,176.32, 4,764.92 and 985.22 is: 1,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.32 : 4,764.92 = 985.22 : x
  2. Step 2: Convert to fraction form
    3,176.32/4,764.92 = 985.22/x
  3. Step 3: Cross multiply
    3,176.32x = 4,764.92 × 985.22
  4. Step 4: Simplify right side
    3,176.32x = 4,694,494.48
  5. Step 5: Solve for x
    x = 4,694,494.48/3,176.32
  6. Step 6: Final answer
    x = 1,477.97

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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.