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Finding the Fourth Proportional to 3,091.05, 4,265.73 and 1,895.90

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Solution

The fourth proportional to 3,091.05, 4,265.73 and 1,895.90 is: 2,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.05 : 4,265.73 = 1,895.90 : x
  2. Step 2: Convert to fraction form
    3,091.05/4,265.73 = 1,895.90/x
  3. Step 3: Cross multiply
    3,091.05x = 4,265.73 × 1,895.90
  4. Step 4: Simplify right side
    3,091.05x = 8,087,376.18
  5. Step 5: Solve for x
    x = 8,087,376.18/3,091.05
  6. Step 6: Final answer
    x = 2,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.