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Finding the Fourth Proportional to 1,729.06, 2,593.05 and 906.90

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Solution

The fourth proportional to 1,729.06, 2,593.05 and 906.90 is: 1,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.06 : 2,593.05 = 906.90 : x
  2. Step 2: Convert to fraction form
    1,729.06/2,593.05 = 906.90/x
  3. Step 3: Cross multiply
    1,729.06x = 2,593.05 × 906.90
  4. Step 4: Simplify right side
    1,729.06x = 2,351,637.05
  5. Step 5: Solve for x
    x = 2,351,637.05/1,729.06
  6. Step 6: Final answer
    x = 1,360.07

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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.