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Finding the Fourth Proportional to 1,739.79, 2,610.54 and 960.39

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Solution

The fourth proportional to 1,739.79, 2,610.54 and 960.39 is: 1,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.79 : 2,610.54 = 960.39 : x
  2. Step 2: Convert to fraction form
    1,739.79/2,610.54 = 960.39/x
  3. Step 3: Cross multiply
    1,739.79x = 2,610.54 × 960.39
  4. Step 4: Simplify right side
    1,739.79x = 2,507,136.51
  5. Step 5: Solve for x
    x = 2,507,136.51/1,739.79
  6. Step 6: Final answer
    x = 1,441.06

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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.