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Finding the Fourth Proportional to 1,739.70, 2,401.71 and 1,183.14

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Solution

The fourth proportional to 1,739.70, 2,401.71 and 1,183.14 is: 1,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.70 : 2,401.71 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    1,739.70/2,401.71 = 1,183.14/x
  3. Step 3: Cross multiply
    1,739.70x = 2,401.71 × 1,183.14
  4. Step 4: Simplify right side
    1,739.70x = 2,841,559.17
  5. Step 5: Solve for x
    x = 2,841,559.17/1,739.70
  6. Step 6: Final answer
    x = 1,633.36

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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.