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Finding the Fourth Proportional to 2,007.10, 2,769.87 and 1,122.90

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Solution

The fourth proportional to 2,007.10, 2,769.87 and 1,122.90 is: 1,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.10 : 2,769.87 = 1,122.90 : x
  2. Step 2: Convert to fraction form
    2,007.10/2,769.87 = 1,122.90/x
  3. Step 3: Cross multiply
    2,007.10x = 2,769.87 × 1,122.90
  4. Step 4: Simplify right side
    2,007.10x = 3,110,287.02
  5. Step 5: Solve for x
    x = 3,110,287.02/2,007.10
  6. Step 6: Final answer
    x = 1,549.64

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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.