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Finding the Fourth Proportional to 1,745.70, 2,612.07 and 1,334.22

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Solution

The fourth proportional to 1,745.70, 2,612.07 and 1,334.22 is: 1,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.70 : 2,612.07 = 1,334.22 : x
  2. Step 2: Convert to fraction form
    1,745.70/2,612.07 = 1,334.22/x
  3. Step 3: Cross multiply
    1,745.70x = 2,612.07 × 1,334.22
  4. Step 4: Simplify right side
    1,745.70x = 3,485,076.04
  5. Step 5: Solve for x
    x = 3,485,076.04/1,745.70
  6. Step 6: Final answer
    x = 1,996.38

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1.5x scale

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.