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Finding the Fourth Proportional to 2,200.59, 3,036.65 and 1,205.71

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Solution

The fourth proportional to 2,200.59, 3,036.65 and 1,205.71 is: 1,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.59 : 3,036.65 = 1,205.71 : x
  2. Step 2: Convert to fraction form
    2,200.59/3,036.65 = 1,205.71/x
  3. Step 3: Cross multiply
    2,200.59x = 3,036.65 × 1,205.71
  4. Step 4: Simplify right side
    2,200.59x = 3,661,305.65
  5. Step 5: Solve for x
    x = 3,661,305.65/2,200.59
  6. Step 6: Final answer
    x = 1,663.78

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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.