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Finding the Fourth Proportional to 2,002.81, 2,763.90 and 1,106.56

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Solution

The fourth proportional to 2,002.81, 2,763.90 and 1,106.56 is: 1,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.81 : 2,763.90 = 1,106.56 : x
  2. Step 2: Convert to fraction form
    2,002.81/2,763.90 = 1,106.56/x
  3. Step 3: Cross multiply
    2,002.81x = 2,763.90 × 1,106.56
  4. Step 4: Simplify right side
    2,002.81x = 3,058,414.27
  5. Step 5: Solve for x
    x = 3,058,414.27/2,002.81
  6. Step 6: Final answer
    x = 1,527.06

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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.