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Finding the Fourth Proportional to 2,959.29, 4,084.07 and 1,633.25

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Solution

The fourth proportional to 2,959.29, 4,084.07 and 1,633.25 is: 2,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.29 : 4,084.07 = 1,633.25 : x
  2. Step 2: Convert to fraction form
    2,959.29/4,084.07 = 1,633.25/x
  3. Step 3: Cross multiply
    2,959.29x = 4,084.07 × 1,633.25
  4. Step 4: Simplify right side
    2,959.29x = 6,670,309.37
  5. Step 5: Solve for x
    x = 6,670,309.37/2,959.29
  6. Step 6: Final answer
    x = 2,254.02

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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.