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Finding the Fourth Proportional to 1,830.12, 2,745.63 and 531.57

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Solution

The fourth proportional to 1,830.12, 2,745.63 and 531.57 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.12 : 2,745.63 = 531.57 : x
  2. Step 2: Convert to fraction form
    1,830.12/2,745.63 = 531.57/x
  3. Step 3: Cross multiply
    1,830.12x = 2,745.63 × 531.57
  4. Step 4: Simplify right side
    1,830.12x = 1,459,494.54
  5. Step 5: Solve for x
    x = 1,459,494.54/1,830.12
  6. Step 6: Final answer
    x = 797.49

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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.