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Finding the Fourth Proportional to 1,619.30, 2,186.78 and 1,619.30

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Solution

The fourth proportional to 1,619.30, 2,186.78 and 1,619.30 is: 2,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.30 : 2,186.78 = 1,619.30 : x
  2. Step 2: Convert to fraction form
    1,619.30/2,186.78 = 1,619.30/x
  3. Step 3: Cross multiply
    1,619.30x = 2,186.78 × 1,619.30
  4. Step 4: Simplify right side
    1,619.30x = 3,541,052.85
  5. Step 5: Solve for x
    x = 3,541,052.85/1,619.30
  6. Step 6: Final answer
    x = 2,186.78

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.