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Finding the Fourth Proportional to 2,199.75, 3,284.47 and 1,789.66

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Solution

The fourth proportional to 2,199.75, 3,284.47 and 1,789.66 is: 2,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.75 : 3,284.47 = 1,789.66 : x
  2. Step 2: Convert to fraction form
    2,199.75/3,284.47 = 1,789.66/x
  3. Step 3: Cross multiply
    2,199.75x = 3,284.47 × 1,789.66
  4. Step 4: Simplify right side
    2,199.75x = 5,878,084.58
  5. Step 5: Solve for x
    x = 5,878,084.58/2,199.75
  6. Step 6: Final answer
    x = 2,672.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.