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Finding the Fourth Proportional to 1,834.70, 2,749.52 and 779.62

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Solution

The fourth proportional to 1,834.70, 2,749.52 and 779.62 is: 1,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.70 : 2,749.52 = 779.62 : x
  2. Step 2: Convert to fraction form
    1,834.70/2,749.52 = 779.62/x
  3. Step 3: Cross multiply
    1,834.70x = 2,749.52 × 779.62
  4. Step 4: Simplify right side
    1,834.70x = 2,143,580.78
  5. Step 5: Solve for x
    x = 2,143,580.78/1,834.70
  6. Step 6: Final answer
    x = 1,168.35

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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.