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Finding the Fourth Proportional to 3,259.87, 4,889.74 and 794.68

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Solution

The fourth proportional to 3,259.87, 4,889.74 and 794.68 is: 1,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.87 : 4,889.74 = 794.68 : x
  2. Step 2: Convert to fraction form
    3,259.87/4,889.74 = 794.68/x
  3. Step 3: Cross multiply
    3,259.87x = 4,889.74 × 794.68
  4. Step 4: Simplify right side
    3,259.87x = 3,885,764.37
  5. Step 5: Solve for x
    x = 3,885,764.37/3,259.87
  6. Step 6: Final answer
    x = 1,192.00

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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.