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Finding the Fourth Proportional to 2,296.45, 3,169.20 and 1,735.93

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Solution

The fourth proportional to 2,296.45, 3,169.20 and 1,735.93 is: 2,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.45 : 3,169.20 = 1,735.93 : x
  2. Step 2: Convert to fraction form
    2,296.45/3,169.20 = 1,735.93/x
  3. Step 3: Cross multiply
    2,296.45x = 3,169.20 × 1,735.93
  4. Step 4: Simplify right side
    2,296.45x = 5,501,509.36
  5. Step 5: Solve for x
    x = 5,501,509.36/2,296.45
  6. Step 6: Final answer
    x = 2,395.66

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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.