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Finding the Fourth Proportional to 2,959.91, 4,084.62 and 1,633.58

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Solution

The fourth proportional to 2,959.91, 4,084.62 and 1,633.58 is: 2,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.91 : 4,084.62 = 1,633.58 : x
  2. Step 2: Convert to fraction form
    2,959.91/4,084.62 = 1,633.58/x
  3. Step 3: Cross multiply
    2,959.91x = 4,084.62 × 1,633.58
  4. Step 4: Simplify right side
    2,959.91x = 6,672,533.12
  5. Step 5: Solve for x
    x = 6,672,533.12/2,959.91
  6. Step 6: Final answer
    x = 2,254.31

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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.