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Finding the Fourth Proportional to 2,091.32, 2,885.88 and 1,206.44

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Solution

The fourth proportional to 2,091.32, 2,885.88 and 1,206.44 is: 1,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.32 : 2,885.88 = 1,206.44 : x
  2. Step 2: Convert to fraction form
    2,091.32/2,885.88 = 1,206.44/x
  3. Step 3: Cross multiply
    2,091.32x = 2,885.88 × 1,206.44
  4. Step 4: Simplify right side
    2,091.32x = 3,481,641.07
  5. Step 5: Solve for x
    x = 3,481,641.07/2,091.32
  6. Step 6: Final answer
    x = 1,664.81

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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.