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Finding the Fourth Proportional to 2,959.67, 4,083.90 and 1,700.80

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Solution

The fourth proportional to 2,959.67, 4,083.90 and 1,700.80 is: 2,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.67 : 4,083.90 = 1,700.80 : x
  2. Step 2: Convert to fraction form
    2,959.67/4,083.90 = 1,700.80/x
  3. Step 3: Cross multiply
    2,959.67x = 4,083.90 × 1,700.80
  4. Step 4: Simplify right side
    2,959.67x = 6,945,897.12
  5. Step 5: Solve for x
    x = 6,945,897.12/2,959.67
  6. Step 6: Final answer
    x = 2,346.85

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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.