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Finding the Fourth Proportional to 2,959.82, 4,084.74 and 1,633.52

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Solution

The fourth proportional to 2,959.82, 4,084.74 and 1,633.52 is: 2,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.82 : 4,084.74 = 1,633.52 : x
  2. Step 2: Convert to fraction form
    2,959.82/4,084.74 = 1,633.52/x
  3. Step 3: Cross multiply
    2,959.82x = 4,084.74 × 1,633.52
  4. Step 4: Simplify right side
    2,959.82x = 6,672,504.48
  5. Step 5: Solve for x
    x = 6,672,504.48/2,959.82
  6. Step 6: Final answer
    x = 2,254.36

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1.5x scale

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.