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Finding the Fourth Proportional to 1,896.60, 2,619.66 and 1,459.80

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Solution

The fourth proportional to 1,896.60, 2,619.66 and 1,459.80 is: 2,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.60 : 2,619.66 = 1,459.80 : x
  2. Step 2: Convert to fraction form
    1,896.60/2,619.66 = 1,459.80/x
  3. Step 3: Cross multiply
    1,896.60x = 2,619.66 × 1,459.80
  4. Step 4: Simplify right side
    1,896.60x = 3,824,179.67
  5. Step 5: Solve for x
    x = 3,824,179.67/1,896.60
  6. Step 6: Final answer
    x = 2,016.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.