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Finding the Fourth Proportional to 3,099.31, 4,649.24 and 1,019.32

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Solution

The fourth proportional to 3,099.31, 4,649.24 and 1,019.32 is: 1,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.31 : 4,649.24 = 1,019.32 : x
  2. Step 2: Convert to fraction form
    3,099.31/4,649.24 = 1,019.32/x
  3. Step 3: Cross multiply
    3,099.31x = 4,649.24 × 1,019.32
  4. Step 4: Simplify right side
    3,099.31x = 4,739,054.24
  5. Step 5: Solve for x
    x = 4,739,054.24/3,099.31
  6. Step 6: Final answer
    x = 1,529.07

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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.