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Finding the Fourth Proportional to 2,035.81, 2,809.42 and 1,104.31

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Solution

The fourth proportional to 2,035.81, 2,809.42 and 1,104.31 is: 1,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.81 : 2,809.42 = 1,104.31 : x
  2. Step 2: Convert to fraction form
    2,035.81/2,809.42 = 1,104.31/x
  3. Step 3: Cross multiply
    2,035.81x = 2,809.42 × 1,104.31
  4. Step 4: Simplify right side
    2,035.81x = 3,102,470.60
  5. Step 5: Solve for x
    x = 3,102,470.60/2,035.81
  6. Step 6: Final answer
    x = 1,523.95

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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.