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Finding the Fourth Proportional to 2,205.44, 3,306.53 and 1,052.00

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Solution

The fourth proportional to 2,205.44, 3,306.53 and 1,052.00 is: 1,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.44 : 3,306.53 = 1,052.00 : x
  2. Step 2: Convert to fraction form
    2,205.44/3,306.53 = 1,052.00/x
  3. Step 3: Cross multiply
    2,205.44x = 3,306.53 × 1,052.00
  4. Step 4: Simplify right side
    2,205.44x = 3,478,455.66
  5. Step 5: Solve for x
    x = 3,478,455.66/2,205.44
  6. Step 6: Final answer
    x = 1,577.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.