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Finding the Fourth Proportional to 1,830.82, 2,745.94 and 598.23

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Solution

The fourth proportional to 1,830.82, 2,745.94 and 598.23 is: 897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.82 : 2,745.94 = 598.23 : x
  2. Step 2: Convert to fraction form
    1,830.82/2,745.94 = 598.23/x
  3. Step 3: Cross multiply
    1,830.82x = 2,745.94 × 598.23
  4. Step 4: Simplify right side
    1,830.82x = 1,642,702.19
  5. Step 5: Solve for x
    x = 1,642,702.19/1,830.82
  6. Step 6: Final answer
    x = 897.25

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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.