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Finding the Fourth Proportional to 2,724.60, 4,086.94 and 776.85

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Solution

The fourth proportional to 2,724.60, 4,086.94 and 776.85 is: 1,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.60 : 4,086.94 = 776.85 : x
  2. Step 2: Convert to fraction form
    2,724.60/4,086.94 = 776.85/x
  3. Step 3: Cross multiply
    2,724.60x = 4,086.94 × 776.85
  4. Step 4: Simplify right side
    2,724.60x = 3,174,939.34
  5. Step 5: Solve for x
    x = 3,174,939.34/2,724.60
  6. Step 6: Final answer
    x = 1,165.29

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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.