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Finding the Fourth Proportional to 2,200.64, 3,036.96 and 1,205.92

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Solution

The fourth proportional to 2,200.64, 3,036.96 and 1,205.92 is: 1,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.64 : 3,036.96 = 1,205.92 : x
  2. Step 2: Convert to fraction form
    2,200.64/3,036.96 = 1,205.92/x
  3. Step 3: Cross multiply
    2,200.64x = 3,036.96 × 1,205.92
  4. Step 4: Simplify right side
    2,200.64x = 3,662,309.59
  5. Step 5: Solve for x
    x = 3,662,309.59/2,200.64
  6. Step 6: Final answer
    x = 1,664.21

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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.