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Finding the Fourth Proportional to 2,200.74, 3,036.91 and 1,205.84

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Solution

The fourth proportional to 2,200.74, 3,036.91 and 1,205.84 is: 1,664.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.74 : 3,036.91 = 1,205.84 : x
  2. Step 2: Convert to fraction form
    2,200.74/3,036.91 = 1,205.84/x
  3. Step 3: Cross multiply
    2,200.74x = 3,036.91 × 1,205.84
  4. Step 4: Simplify right side
    2,200.74x = 3,662,017.31
  5. Step 5: Solve for x
    x = 3,662,017.31/2,200.74
  6. Step 6: Final answer
    x = 1,664.00

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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.