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Finding the Fourth Proportional to 2,959.94, 4,084.82 and 1,633.69

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Solution

The fourth proportional to 2,959.94, 4,084.82 and 1,633.69 is: 2,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.94 : 4,084.82 = 1,633.69 : x
  2. Step 2: Convert to fraction form
    2,959.94/4,084.82 = 1,633.69/x
  3. Step 3: Cross multiply
    2,959.94x = 4,084.82 × 1,633.69
  4. Step 4: Simplify right side
    2,959.94x = 6,673,329.59
  5. Step 5: Solve for x
    x = 6,673,329.59/2,959.94
  6. Step 6: Final answer
    x = 2,254.55

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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.