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Finding the Fourth Proportional to 1,605.05, 2,405.09 and 1,083.00

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Solution

The fourth proportional to 1,605.05, 2,405.09 and 1,083.00 is: 1,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.05 : 2,405.09 = 1,083.00 : x
  2. Step 2: Convert to fraction form
    1,605.05/2,405.09 = 1,083.00/x
  3. Step 3: Cross multiply
    1,605.05x = 2,405.09 × 1,083.00
  4. Step 4: Simplify right side
    1,605.05x = 2,604,724.20
  5. Step 5: Solve for x
    x = 2,604,724.20/1,605.05
  6. Step 6: Final answer
    x = 1,622.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.