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Finding the Fourth Proportional to 1,739.48, 2,402.79 and 1,296.62

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Solution

The fourth proportional to 1,739.48, 2,402.79 and 1,296.62 is: 1,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.48 : 2,402.79 = 1,296.62 : x
  2. Step 2: Convert to fraction form
    1,739.48/2,402.79 = 1,296.62/x
  3. Step 3: Cross multiply
    1,739.48x = 2,402.79 × 1,296.62
  4. Step 4: Simplify right side
    1,739.48x = 3,115,488.69
  5. Step 5: Solve for x
    x = 3,115,488.69/1,739.48
  6. Step 6: Final answer
    x = 1,791.04

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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.