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Finding the Fourth Proportional to 1,610.58, 2,415.93 and 685.97

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Solution

The fourth proportional to 1,610.58, 2,415.93 and 685.97 is: 1,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.58 : 2,415.93 = 685.97 : x
  2. Step 2: Convert to fraction form
    1,610.58/2,415.93 = 685.97/x
  3. Step 3: Cross multiply
    1,610.58x = 2,415.93 × 685.97
  4. Step 4: Simplify right side
    1,610.58x = 1,657,249.91
  5. Step 5: Solve for x
    x = 1,657,249.91/1,610.58
  6. Step 6: Final answer
    x = 1,028.97

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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.