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Finding the Fourth Proportional to 2,110.25, 3,165.78 and 956

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Solution

The fourth proportional to 2,110.25, 3,165.78 and 956 is: 1,434.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.25 : 3,165.78 = 956 : x
  2. Step 2: Convert to fraction form
    2,110.25/3,165.78 = 956/x
  3. Step 3: Cross multiply
    2,110.25x = 3,165.78 × 956
  4. Step 4: Simplify right side
    2,110.25x = 3,026,485.68
  5. Step 5: Solve for x
    x = 3,026,485.68/2,110.25
  6. Step 6: Final answer
    x = 1,434.18

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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.