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Finding the Fourth Proportional to 2,205.33, 3,046.04 and 1,606.88

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Solution

The fourth proportional to 2,205.33, 3,046.04 and 1,606.88 is: 2,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.33 : 3,046.04 = 1,606.88 : x
  2. Step 2: Convert to fraction form
    2,205.33/3,046.04 = 1,606.88/x
  3. Step 3: Cross multiply
    2,205.33x = 3,046.04 × 1,606.88
  4. Step 4: Simplify right side
    2,205.33x = 4,894,597.49
  5. Step 5: Solve for x
    x = 4,894,597.49/2,205.33
  6. Step 6: Final answer
    x = 2,219.44

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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.