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Finding the Fourth Proportional to 1,218.87, 1,819.74 and 1,104.06

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Solution

The fourth proportional to 1,218.87, 1,819.74 and 1,104.06 is: 1,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.87 : 1,819.74 = 1,104.06 : x
  2. Step 2: Convert to fraction form
    1,218.87/1,819.74 = 1,104.06/x
  3. Step 3: Cross multiply
    1,218.87x = 1,819.74 × 1,104.06
  4. Step 4: Simplify right side
    1,218.87x = 2,009,102.14
  5. Step 5: Solve for x
    x = 2,009,102.14/1,218.87
  6. Step 6: Final answer
    x = 1,648.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.