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Finding the Fourth Proportional to 1,834.26, 2,752.75 and 738.63

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Solution

The fourth proportional to 1,834.26, 2,752.75 and 738.63 is: 1,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.26 : 2,752.75 = 738.63 : x
  2. Step 2: Convert to fraction form
    1,834.26/2,752.75 = 738.63/x
  3. Step 3: Cross multiply
    1,834.26x = 2,752.75 × 738.63
  4. Step 4: Simplify right side
    1,834.26x = 2,033,264.66
  5. Step 5: Solve for x
    x = 2,033,264.66/1,834.26
  6. Step 6: Final answer
    x = 1,108.50

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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.