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Finding the Fourth Proportional to 2,200.46, 3,036.51 and 1,205.78

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Solution

The fourth proportional to 2,200.46, 3,036.51 and 1,205.78 is: 1,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.46 : 3,036.51 = 1,205.78 : x
  2. Step 2: Convert to fraction form
    2,200.46/3,036.51 = 1,205.78/x
  3. Step 3: Cross multiply
    2,200.46x = 3,036.51 × 1,205.78
  4. Step 4: Simplify right side
    2,200.46x = 3,661,347.85
  5. Step 5: Solve for x
    x = 3,661,347.85/2,200.46
  6. Step 6: Final answer
    x = 1,663.90

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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.