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Finding the Fourth Proportional to 2,040.64, 2,816.07 and 1,109.14

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Solution

The fourth proportional to 2,040.64, 2,816.07 and 1,109.14 is: 1,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.64 : 2,816.07 = 1,109.14 : x
  2. Step 2: Convert to fraction form
    2,040.64/2,816.07 = 1,109.14/x
  3. Step 3: Cross multiply
    2,040.64x = 2,816.07 × 1,109.14
  4. Step 4: Simplify right side
    2,040.64x = 3,123,415.88
  5. Step 5: Solve for x
    x = 3,123,415.88/2,040.64
  6. Step 6: Final answer
    x = 1,530.61

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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.