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Finding the Fourth Proportional to 2,326.15, 3,494.09 and 1,961.65

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Solution

The fourth proportional to 2,326.15, 3,494.09 and 1,961.65 is: 2,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.15 : 3,494.09 = 1,961.65 : x
  2. Step 2: Convert to fraction form
    2,326.15/3,494.09 = 1,961.65/x
  3. Step 3: Cross multiply
    2,326.15x = 3,494.09 × 1,961.65
  4. Step 4: Simplify right side
    2,326.15x = 6,854,181.65
  5. Step 5: Solve for x
    x = 6,854,181.65/2,326.15
  6. Step 6: Final answer
    x = 2,946.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.