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Finding the Fourth Proportional to 1,949.59, 2,923.77 and 650.75

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Solution

The fourth proportional to 1,949.59, 2,923.77 and 650.75 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.59 : 2,923.77 = 650.75 : x
  2. Step 2: Convert to fraction form
    1,949.59/2,923.77 = 650.75/x
  3. Step 3: Cross multiply
    1,949.59x = 2,923.77 × 650.75
  4. Step 4: Simplify right side
    1,949.59x = 1,902,643.33
  5. Step 5: Solve for x
    x = 1,902,643.33/1,949.59
  6. Step 6: Final answer
    x = 975.92

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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.