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Finding the Fourth Proportional to 1,600.32, 2,207.81 and 1,181.66

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Solution

The fourth proportional to 1,600.32, 2,207.81 and 1,181.66 is: 1,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.32 : 2,207.81 = 1,181.66 : x
  2. Step 2: Convert to fraction form
    1,600.32/2,207.81 = 1,181.66/x
  3. Step 3: Cross multiply
    1,600.32x = 2,207.81 × 1,181.66
  4. Step 4: Simplify right side
    1,600.32x = 2,608,880.76
  5. Step 5: Solve for x
    x = 2,608,880.76/1,600.32
  6. Step 6: Final answer
    x = 1,630.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.