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Finding the Fourth Proportional to 1,972.97, 2,957.02 and 1,094.73

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Solution

The fourth proportional to 1,972.97, 2,957.02 and 1,094.73 is: 1,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.97 : 2,957.02 = 1,094.73 : x
  2. Step 2: Convert to fraction form
    1,972.97/2,957.02 = 1,094.73/x
  3. Step 3: Cross multiply
    1,972.97x = 2,957.02 × 1,094.73
  4. Step 4: Simplify right side
    1,972.97x = 3,237,138.50
  5. Step 5: Solve for x
    x = 3,237,138.50/1,972.97
  6. Step 6: Final answer
    x = 1,640.74

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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.