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Finding the Fourth Proportional to 1,519.77, 2,097.32 and 890.75

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Solution

The fourth proportional to 1,519.77, 2,097.32 and 890.75 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.77 : 2,097.32 = 890.75 : x
  2. Step 2: Convert to fraction form
    1,519.77/2,097.32 = 890.75/x
  3. Step 3: Cross multiply
    1,519.77x = 2,097.32 × 890.75
  4. Step 4: Simplify right side
    1,519.77x = 1,868,172.85
  5. Step 5: Solve for x
    x = 1,868,172.85/1,519.77
  6. Step 6: Final answer
    x = 1,229.25

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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.