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Finding the Fourth Proportional to 2,007.34, 2,769.96 and 1,167.88

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Solution

The fourth proportional to 2,007.34, 2,769.96 and 1,167.88 is: 1,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.34 : 2,769.96 = 1,167.88 : x
  2. Step 2: Convert to fraction form
    2,007.34/2,769.96 = 1,167.88/x
  3. Step 3: Cross multiply
    2,007.34x = 2,769.96 × 1,167.88
  4. Step 4: Simplify right side
    2,007.34x = 3,234,980.88
  5. Step 5: Solve for x
    x = 3,234,980.88/2,007.34
  6. Step 6: Final answer
    x = 1,611.58

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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.