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Finding the Fourth Proportional to 2,007.14, 2,769.86 and 1,122.96

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Solution

The fourth proportional to 2,007.14, 2,769.86 and 1,122.96 is: 1,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.14 : 2,769.86 = 1,122.96 : x
  2. Step 2: Convert to fraction form
    2,007.14/2,769.86 = 1,122.96/x
  3. Step 3: Cross multiply
    2,007.14x = 2,769.86 × 1,122.96
  4. Step 4: Simplify right side
    2,007.14x = 3,110,441.99
  5. Step 5: Solve for x
    x = 3,110,441.99/2,007.14
  6. Step 6: Final answer
    x = 1,549.69

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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.