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Finding the Fourth Proportional to 1,972.06, 2,957.97 and 739.36

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Solution

The fourth proportional to 1,972.06, 2,957.97 and 739.36 is: 1,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.06 : 2,957.97 = 739.36 : x
  2. Step 2: Convert to fraction form
    1,972.06/2,957.97 = 739.36/x
  3. Step 3: Cross multiply
    1,972.06x = 2,957.97 × 739.36
  4. Step 4: Simplify right side
    1,972.06x = 2,187,001.00
  5. Step 5: Solve for x
    x = 2,187,001.00/1,972.06
  6. Step 6: Final answer
    x = 1,109.00

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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.