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Finding the Fourth Proportional to 2,200.68, 3,036.92 and 1,206.02

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Solution

The fourth proportional to 2,200.68, 3,036.92 and 1,206.02 is: 1,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.68 : 3,036.92 = 1,206.02 : x
  2. Step 2: Convert to fraction form
    2,200.68/3,036.92 = 1,206.02/x
  3. Step 3: Cross multiply
    2,200.68x = 3,036.92 × 1,206.02
  4. Step 4: Simplify right side
    2,200.68x = 3,662,586.26
  5. Step 5: Solve for x
    x = 3,662,586.26/2,200.68
  6. Step 6: Final answer
    x = 1,664.30

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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.