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Finding the Fourth Proportional to 2,007.12, 2,769.80 and 1,122.88

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Solution

The fourth proportional to 2,007.12, 2,769.80 and 1,122.88 is: 1,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.12 : 2,769.80 = 1,122.88 : x
  2. Step 2: Convert to fraction form
    2,007.12/2,769.80 = 1,122.88/x
  3. Step 3: Cross multiply
    2,007.12x = 2,769.80 × 1,122.88
  4. Step 4: Simplify right side
    2,007.12x = 3,110,153.02
  5. Step 5: Solve for x
    x = 3,110,153.02/2,007.12
  6. Step 6: Final answer
    x = 1,549.56

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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.