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Finding the Fourth Proportional to 2,959.63, 4,084.16 and 1,699.80

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Solution

The fourth proportional to 2,959.63, 4,084.16 and 1,699.80 is: 2,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.63 : 4,084.16 = 1,699.80 : x
  2. Step 2: Convert to fraction form
    2,959.63/4,084.16 = 1,699.80/x
  3. Step 3: Cross multiply
    2,959.63x = 4,084.16 × 1,699.80
  4. Step 4: Simplify right side
    2,959.63x = 6,942,254.33
  5. Step 5: Solve for x
    x = 6,942,254.33/2,959.63
  6. Step 6: Final answer
    x = 2,345.65

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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.