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Finding the Fourth Proportional to 1,659.73, 2,287.39 and 1,378.45

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Solution

The fourth proportional to 1,659.73, 2,287.39 and 1,378.45 is: 1,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.73 : 2,287.39 = 1,378.45 : x
  2. Step 2: Convert to fraction form
    1,659.73/2,287.39 = 1,378.45/x
  3. Step 3: Cross multiply
    1,659.73x = 2,287.39 × 1,378.45
  4. Step 4: Simplify right side
    1,659.73x = 3,153,052.75
  5. Step 5: Solve for x
    x = 3,153,052.75/1,659.73
  6. Step 6: Final answer
    x = 1,899.74

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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.