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Finding the Fourth Proportional to 1,519.15, 2,278.61 and 900.91

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Solution

The fourth proportional to 1,519.15, 2,278.61 and 900.91 is: 1,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.15 : 2,278.61 = 900.91 : x
  2. Step 2: Convert to fraction form
    1,519.15/2,278.61 = 900.91/x
  3. Step 3: Cross multiply
    1,519.15x = 2,278.61 × 900.91
  4. Step 4: Simplify right side
    1,519.15x = 2,052,822.54
  5. Step 5: Solve for x
    x = 2,052,822.54/1,519.15
  6. Step 6: Final answer
    x = 1,351.30

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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.