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Finding the Fourth Proportional to 3,130.49, 4,695.73 and 939.22

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Solution

The fourth proportional to 3,130.49, 4,695.73 and 939.22 is: 1,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.49 : 4,695.73 = 939.22 : x
  2. Step 2: Convert to fraction form
    3,130.49/4,695.73 = 939.22/x
  3. Step 3: Cross multiply
    3,130.49x = 4,695.73 × 939.22
  4. Step 4: Simplify right side
    3,130.49x = 4,410,300.05
  5. Step 5: Solve for x
    x = 4,410,300.05/3,130.49
  6. Step 6: Final answer
    x = 1,408.82

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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.