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Finding the Fourth Proportional to 1,834.45, 2,749.85 and 966.94

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Solution

The fourth proportional to 1,834.45, 2,749.85 and 966.94 is: 1,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.45 : 2,749.85 = 966.94 : x
  2. Step 2: Convert to fraction form
    1,834.45/2,749.85 = 966.94/x
  3. Step 3: Cross multiply
    1,834.45x = 2,749.85 × 966.94
  4. Step 4: Simplify right side
    1,834.45x = 2,658,931.88
  5. Step 5: Solve for x
    x = 2,658,931.88/1,834.45
  6. Step 6: Final answer
    x = 1,449.45

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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.