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Finding the Fourth Proportional to 2,793.93, 4,193.06 and 1,970.43

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Solution

The fourth proportional to 2,793.93, 4,193.06 and 1,970.43 is: 2,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.93 : 4,193.06 = 1,970.43 : x
  2. Step 2: Convert to fraction form
    2,793.93/4,193.06 = 1,970.43/x
  3. Step 3: Cross multiply
    2,793.93x = 4,193.06 × 1,970.43
  4. Step 4: Simplify right side
    2,793.93x = 8,262,121.36
  5. Step 5: Solve for x
    x = 8,262,121.36/2,793.93
  6. Step 6: Final answer
    x = 2,957.17

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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.