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Finding the Fourth Proportional to 2,205.66, 3,306.57 and 1,233.18

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Solution

The fourth proportional to 2,205.66, 3,306.57 and 1,233.18 is: 1,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.66 : 3,306.57 = 1,233.18 : x
  2. Step 2: Convert to fraction form
    2,205.66/3,306.57 = 1,233.18/x
  3. Step 3: Cross multiply
    2,205.66x = 3,306.57 × 1,233.18
  4. Step 4: Simplify right side
    2,205.66x = 4,077,595.99
  5. Step 5: Solve for x
    x = 4,077,595.99/2,205.66
  6. Step 6: Final answer
    x = 1,848.70

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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.