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Finding the Fourth Proportional to 2,205.30, 3,307.23 and 818.58

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Solution

The fourth proportional to 2,205.30, 3,307.23 and 818.58 is: 1,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.30 : 3,307.23 = 818.58 : x
  2. Step 2: Convert to fraction form
    2,205.30/3,307.23 = 818.58/x
  3. Step 3: Cross multiply
    2,205.30x = 3,307.23 × 818.58
  4. Step 4: Simplify right side
    2,205.30x = 2,707,232.33
  5. Step 5: Solve for x
    x = 2,707,232.33/2,205.30
  6. Step 6: Final answer
    x = 1,227.60

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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.