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Finding the Fourth Proportional to 2,036.20, 3,054.86 and 866.39

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Solution

The fourth proportional to 2,036.20, 3,054.86 and 866.39 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.20 : 3,054.86 = 866.39 : x
  2. Step 2: Convert to fraction form
    2,036.20/3,054.86 = 866.39/x
  3. Step 3: Cross multiply
    2,036.20x = 3,054.86 × 866.39
  4. Step 4: Simplify right side
    2,036.20x = 2,646,695.82
  5. Step 5: Solve for x
    x = 2,646,695.82/2,036.20
  6. Step 6: Final answer
    x = 1,299.82

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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.