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Finding the Fourth Proportional to 1,830.35, 2,745.67 and 531.81

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Solution

The fourth proportional to 1,830.35, 2,745.67 and 531.81 is: 797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.35 : 2,745.67 = 531.81 : x
  2. Step 2: Convert to fraction form
    1,830.35/2,745.67 = 531.81/x
  3. Step 3: Cross multiply
    1,830.35x = 2,745.67 × 531.81
  4. Step 4: Simplify right side
    1,830.35x = 1,460,180.30
  5. Step 5: Solve for x
    x = 1,460,180.30/1,830.35
  6. Step 6: Final answer
    x = 797.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.