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Finding the Fourth Proportional to 1,421.05, 1,961.75 and 949.23

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Solution

The fourth proportional to 1,421.05, 1,961.75 and 949.23 is: 1,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.05 : 1,961.75 = 949.23 : x
  2. Step 2: Convert to fraction form
    1,421.05/1,961.75 = 949.23/x
  3. Step 3: Cross multiply
    1,421.05x = 1,961.75 × 949.23
  4. Step 4: Simplify right side
    1,421.05x = 1,862,151.95
  5. Step 5: Solve for x
    x = 1,862,151.95/1,421.05
  6. Step 6: Final answer
    x = 1,310.41

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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.