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Finding the Fourth Proportional to 2,287.14, 3,154.88 and 2,007.16

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Solution

The fourth proportional to 2,287.14, 3,154.88 and 2,007.16 is: 2,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,154.88 = 2,007.16 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,154.88 = 2,007.16/x
  3. Step 3: Cross multiply
    2,287.14x = 3,154.88 × 2,007.16
  4. Step 4: Simplify right side
    2,287.14x = 6,332,348.94
  5. Step 5: Solve for x
    x = 6,332,348.94/2,287.14
  6. Step 6: Final answer
    x = 2,768.68

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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.