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Finding the Fourth Proportional to 2,584.65, 3,875.26 and 941

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Solution

The fourth proportional to 2,584.65, 3,875.26 and 941 is: 1,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.65 : 3,875.26 = 941 : x
  2. Step 2: Convert to fraction form
    2,584.65/3,875.26 = 941/x
  3. Step 3: Cross multiply
    2,584.65x = 3,875.26 × 941
  4. Step 4: Simplify right side
    2,584.65x = 3,646,619.66
  5. Step 5: Solve for x
    x = 3,646,619.66/2,584.65
  6. Step 6: Final answer
    x = 1,410.88

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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.