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Finding the Fourth Proportional to 2,205.90, 3,290.27 and 2,052.81

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Solution

The fourth proportional to 2,205.90, 3,290.27 and 2,052.81 is: 3,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.90 : 3,290.27 = 2,052.81 : x
  2. Step 2: Convert to fraction form
    2,205.90/3,290.27 = 2,052.81/x
  3. Step 3: Cross multiply
    2,205.90x = 3,290.27 × 2,052.81
  4. Step 4: Simplify right side
    2,205.90x = 6,754,288.89
  5. Step 5: Solve for x
    x = 6,754,288.89/2,205.90
  6. Step 6: Final answer
    x = 3,061.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.