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Finding the Fourth Proportional to 2,959.38, 4,083.81 and 1,699.55

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Solution

The fourth proportional to 2,959.38, 4,083.81 and 1,699.55 is: 2,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.38 : 4,083.81 = 1,699.55 : x
  2. Step 2: Convert to fraction form
    2,959.38/4,083.81 = 1,699.55/x
  3. Step 3: Cross multiply
    2,959.38x = 4,083.81 × 1,699.55
  4. Step 4: Simplify right side
    2,959.38x = 6,940,639.29
  5. Step 5: Solve for x
    x = 6,940,639.29/2,959.38
  6. Step 6: Final answer
    x = 2,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.