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Finding the Fourth Proportional to 1,739.25, 2,607.06 and 814.04

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Solution

The fourth proportional to 1,739.25, 2,607.06 and 814.04 is: 1,220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.25 : 2,607.06 = 814.04 : x
  2. Step 2: Convert to fraction form
    1,739.25/2,607.06 = 814.04/x
  3. Step 3: Cross multiply
    1,739.25x = 2,607.06 × 814.04
  4. Step 4: Simplify right side
    1,739.25x = 2,122,238.09
  5. Step 5: Solve for x
    x = 2,122,238.09/1,739.25
  6. Step 6: Final answer
    x = 1,220.20

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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.