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Finding the Fourth Proportional to 1,969.15, 2,957.02 and 1,230.48

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Solution

The fourth proportional to 1,969.15, 2,957.02 and 1,230.48 is: 1,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.15 : 2,957.02 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,969.15/2,957.02 = 1,230.48/x
  3. Step 3: Cross multiply
    1,969.15x = 2,957.02 × 1,230.48
  4. Step 4: Simplify right side
    1,969.15x = 3,638,553.97
  5. Step 5: Solve for x
    x = 3,638,553.97/1,969.15
  6. Step 6: Final answer
    x = 1,847.78

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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.