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Finding the Fourth Proportional to 2,959.66, 4,084.12 and 1,633.37

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Solution

The fourth proportional to 2,959.66, 4,084.12 and 1,633.37 is: 2,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.66 : 4,084.12 = 1,633.37 : x
  2. Step 2: Convert to fraction form
    2,959.66/4,084.12 = 1,633.37/x
  3. Step 3: Cross multiply
    2,959.66x = 4,084.12 × 1,633.37
  4. Step 4: Simplify right side
    2,959.66x = 6,670,879.08
  5. Step 5: Solve for x
    x = 6,670,879.08/2,959.66
  6. Step 6: Final answer
    x = 2,253.93

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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.