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Finding the Fourth Proportional to 2,485.50, 3,728.25 and 946.86

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Solution

The fourth proportional to 2,485.50, 3,728.25 and 946.86 is: 1,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.50 : 3,728.25 = 946.86 : x
  2. Step 2: Convert to fraction form
    2,485.50/3,728.25 = 946.86/x
  3. Step 3: Cross multiply
    2,485.50x = 3,728.25 × 946.86
  4. Step 4: Simplify right side
    2,485.50x = 3,530,130.80
  5. Step 5: Solve for x
    x = 3,530,130.80/2,485.50
  6. Step 6: Final answer
    x = 1,420.29

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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.