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Finding the Fourth Proportional to 1,830.23, 2,745.54 and 597.68

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Solution

The fourth proportional to 1,830.23, 2,745.54 and 597.68 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.23 : 2,745.54 = 597.68 : x
  2. Step 2: Convert to fraction form
    1,830.23/2,745.54 = 597.68/x
  3. Step 3: Cross multiply
    1,830.23x = 2,745.54 × 597.68
  4. Step 4: Simplify right side
    1,830.23x = 1,640,940.62
  5. Step 5: Solve for x
    x = 1,640,940.62/1,830.23
  6. Step 6: Final answer
    x = 896.58

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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.