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Finding the Fourth Proportional to 1,866.49, 2,573.84 and 1,236.79

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Solution

The fourth proportional to 1,866.49, 2,573.84 and 1,236.79 is: 1,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.49 : 2,573.84 = 1,236.79 : x
  2. Step 2: Convert to fraction form
    1,866.49/2,573.84 = 1,236.79/x
  3. Step 3: Cross multiply
    1,866.49x = 2,573.84 × 1,236.79
  4. Step 4: Simplify right side
    1,866.49x = 3,183,305.88
  5. Step 5: Solve for x
    x = 3,183,305.88/1,866.49
  6. Step 6: Final answer
    x = 1,705.51

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