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Finding the Fourth Proportional to 2,007.14, 2,770.44 and 1,168.04

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Solution

The fourth proportional to 2,007.14, 2,770.44 and 1,168.04 is: 1,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.14 : 2,770.44 = 1,168.04 : x
  2. Step 2: Convert to fraction form
    2,007.14/2,770.44 = 1,168.04/x
  3. Step 3: Cross multiply
    2,007.14x = 2,770.44 × 1,168.04
  4. Step 4: Simplify right side
    2,007.14x = 3,235,984.74
  5. Step 5: Solve for x
    x = 3,235,984.74/2,007.14
  6. Step 6: Final answer
    x = 1,612.24

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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.