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Finding the Fourth Proportional to 1,949.57, 2,924.36 and 779.67

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Solution

The fourth proportional to 1,949.57, 2,924.36 and 779.67 is: 1,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.57 : 2,924.36 = 779.67 : x
  2. Step 2: Convert to fraction form
    1,949.57/2,924.36 = 779.67/x
  3. Step 3: Cross multiply
    1,949.57x = 2,924.36 × 779.67
  4. Step 4: Simplify right side
    1,949.57x = 2,280,037.71
  5. Step 5: Solve for x
    x = 2,280,037.71/1,949.57
  6. Step 6: Final answer
    x = 1,169.51

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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.