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Finding the Fourth Proportional to 2,699.19, 4,029.75 and 2,309.31

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Solution

The fourth proportional to 2,699.19, 4,029.75 and 2,309.31 is: 3,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.19 : 4,029.75 = 2,309.31 : x
  2. Step 2: Convert to fraction form
    2,699.19/4,029.75 = 2,309.31/x
  3. Step 3: Cross multiply
    2,699.19x = 4,029.75 × 2,309.31
  4. Step 4: Simplify right side
    2,699.19x = 9,305,941.97
  5. Step 5: Solve for x
    x = 9,305,941.97/2,699.19
  6. Step 6: Final answer
    x = 3,447.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.