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Finding the Fourth Proportional to 1,238.13, 1,855.63 and 1,205.83

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Solution

The fourth proportional to 1,238.13, 1,855.63 and 1,205.83 is: 1,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.13 : 1,855.63 = 1,205.83 : x
  2. Step 2: Convert to fraction form
    1,238.13/1,855.63 = 1,205.83/x
  3. Step 3: Cross multiply
    1,238.13x = 1,855.63 × 1,205.83
  4. Step 4: Simplify right side
    1,238.13x = 2,237,574.32
  5. Step 5: Solve for x
    x = 2,237,574.32/1,238.13
  6. Step 6: Final answer
    x = 1,807.22

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