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Finding the Fourth Proportional to 2,009.62, 2,773.61 and 1,125.64

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Solution

The fourth proportional to 2,009.62, 2,773.61 and 1,125.64 is: 1,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.62 : 2,773.61 = 1,125.64 : x
  2. Step 2: Convert to fraction form
    2,009.62/2,773.61 = 1,125.64/x
  3. Step 3: Cross multiply
    2,009.62x = 2,773.61 × 1,125.64
  4. Step 4: Simplify right side
    2,009.62x = 3,122,086.36
  5. Step 5: Solve for x
    x = 3,122,086.36/2,009.62
  6. Step 6: Final answer
    x = 1,553.57

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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.