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Finding the Fourth Proportional to 2,624.14, 3,935.29 and 774.77

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Solution

The fourth proportional to 2,624.14, 3,935.29 and 774.77 is: 1,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.14 : 3,935.29 = 774.77 : x
  2. Step 2: Convert to fraction form
    2,624.14/3,935.29 = 774.77/x
  3. Step 3: Cross multiply
    2,624.14x = 3,935.29 × 774.77
  4. Step 4: Simplify right side
    2,624.14x = 3,048,921.08
  5. Step 5: Solve for x
    x = 3,048,921.08/2,624.14
  6. Step 6: Final answer
    x = 1,161.87

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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.