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Finding the Fourth Proportional to 1,819.32, 2,728.31 and 1,237.49

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Solution

The fourth proportional to 1,819.32, 2,728.31 and 1,237.49 is: 1,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.32 : 2,728.31 = 1,237.49 : x
  2. Step 2: Convert to fraction form
    1,819.32/2,728.31 = 1,237.49/x
  3. Step 3: Cross multiply
    1,819.32x = 2,728.31 × 1,237.49
  4. Step 4: Simplify right side
    1,819.32x = 3,376,236.51
  5. Step 5: Solve for x
    x = 3,376,236.51/1,819.32
  6. Step 6: Final answer
    x = 1,855.77

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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.