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Finding the Fourth Proportional to 1,825.74, 2,736.95 and 730.85

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Solution

The fourth proportional to 1,825.74, 2,736.95 and 730.85 is: 1,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.74 : 2,736.95 = 730.85 : x
  2. Step 2: Convert to fraction form
    1,825.74/2,736.95 = 730.85/x
  3. Step 3: Cross multiply
    1,825.74x = 2,736.95 × 730.85
  4. Step 4: Simplify right side
    1,825.74x = 2,000,282.57
  5. Step 5: Solve for x
    x = 2,000,282.57/1,825.74
  6. Step 6: Final answer
    x = 1,095.60

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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.