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Finding the Fourth Proportional to 2,959.39, 4,083.82 and 1,699.56

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Solution

The fourth proportional to 2,959.39, 4,083.82 and 1,699.56 is: 2,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.39 : 4,083.82 = 1,699.56 : x
  2. Step 2: Convert to fraction form
    2,959.39/4,083.82 = 1,699.56/x
  3. Step 3: Cross multiply
    2,959.39x = 4,083.82 × 1,699.56
  4. Step 4: Simplify right side
    2,959.39x = 6,940,686.91
  5. Step 5: Solve for x
    x = 6,940,686.91/2,959.39
  6. Step 6: Final answer
    x = 2,345.31

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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.