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Finding the Fourth Proportional to 1,735.60, 2,600.37 and 1,444.97

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Solution

The fourth proportional to 1,735.60, 2,600.37 and 1,444.97 is: 2,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.60 : 2,600.37 = 1,444.97 : x
  2. Step 2: Convert to fraction form
    1,735.60/2,600.37 = 1,444.97/x
  3. Step 3: Cross multiply
    1,735.60x = 2,600.37 × 1,444.97
  4. Step 4: Simplify right side
    1,735.60x = 3,757,443.33
  5. Step 5: Solve for x
    x = 3,757,443.33/1,735.60
  6. Step 6: Final answer
    x = 2,164.93

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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.