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Finding the Fourth Proportional to 1,619.60, 2,429.49 and 1,099.37

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Solution

The fourth proportional to 1,619.60, 2,429.49 and 1,099.37 is: 1,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.60 : 2,429.49 = 1,099.37 : x
  2. Step 2: Convert to fraction form
    1,619.60/2,429.49 = 1,099.37/x
  3. Step 3: Cross multiply
    1,619.60x = 2,429.49 × 1,099.37
  4. Step 4: Simplify right side
    1,619.60x = 2,670,918.62
  5. Step 5: Solve for x
    x = 2,670,918.62/1,619.60
  6. Step 6: Final answer
    x = 1,649.13

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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.