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Finding the Fourth Proportional to 1,834.63, 2,752.04 and 738.85

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Solution

The fourth proportional to 1,834.63, 2,752.04 and 738.85 is: 1,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.63 : 2,752.04 = 738.85 : x
  2. Step 2: Convert to fraction form
    1,834.63/2,752.04 = 738.85/x
  3. Step 3: Cross multiply
    1,834.63x = 2,752.04 × 738.85
  4. Step 4: Simplify right side
    1,834.63x = 2,033,336.03
  5. Step 5: Solve for x
    x = 2,033,336.03/1,834.63
  6. Step 6: Final answer
    x = 1,108.31

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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.