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Finding the Fourth Proportional to 2,091.91, 2,886.02 and 1,207.55

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Solution

The fourth proportional to 2,091.91, 2,886.02 and 1,207.55 is: 1,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.91 : 2,886.02 = 1,207.55 : x
  2. Step 2: Convert to fraction form
    2,091.91/2,886.02 = 1,207.55/x
  3. Step 3: Cross multiply
    2,091.91x = 2,886.02 × 1,207.55
  4. Step 4: Simplify right side
    2,091.91x = 3,485,013.45
  5. Step 5: Solve for x
    x = 3,485,013.45/2,091.91
  6. Step 6: Final answer
    x = 1,665.95

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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.