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Finding the Fourth Proportional to 2,626.57, 3,937.42 and 984.20

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Solution

The fourth proportional to 2,626.57, 3,937.42 and 984.20 is: 1,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.57 : 3,937.42 = 984.20 : x
  2. Step 2: Convert to fraction form
    2,626.57/3,937.42 = 984.20/x
  3. Step 3: Cross multiply
    2,626.57x = 3,937.42 × 984.20
  4. Step 4: Simplify right side
    2,626.57x = 3,875,186.62
  5. Step 5: Solve for x
    x = 3,875,186.62/2,626.57
  6. Step 6: Final answer
    x = 1,475.38

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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.