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Finding the Fourth Proportional to 3,100.32, 4,649.94 and 1,619.46

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Solution

The fourth proportional to 3,100.32, 4,649.94 and 1,619.46 is: 2,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.32 : 4,649.94 = 1,619.46 : x
  2. Step 2: Convert to fraction form
    3,100.32/4,649.94 = 1,619.46/x
  3. Step 3: Cross multiply
    3,100.32x = 4,649.94 × 1,619.46
  4. Step 4: Simplify right side
    3,100.32x = 7,530,391.83
  5. Step 5: Solve for x
    x = 7,530,391.83/3,100.32
  6. Step 6: Final answer
    x = 2,428.91

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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.