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Finding the Fourth Proportional to 1,649.13, 2,474.61 and 919.12

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Solution

The fourth proportional to 1,649.13, 2,474.61 and 919.12 is: 1,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.13 : 2,474.61 = 919.12 : x
  2. Step 2: Convert to fraction form
    1,649.13/2,474.61 = 919.12/x
  3. Step 3: Cross multiply
    1,649.13x = 2,474.61 × 919.12
  4. Step 4: Simplify right side
    1,649.13x = 2,274,468.36
  5. Step 5: Solve for x
    x = 2,274,468.36/1,649.13
  6. Step 6: Final answer
    x = 1,379.19

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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.