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Finding the Fourth Proportional to 1,219.82, 1,830.03 and 354.14

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Solution

The fourth proportional to 1,219.82, 1,830.03 and 354.14 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.82 : 1,830.03 = 354.14 : x
  2. Step 2: Convert to fraction form
    1,219.82/1,830.03 = 354.14/x
  3. Step 3: Cross multiply
    1,219.82x = 1,830.03 × 354.14
  4. Step 4: Simplify right side
    1,219.82x = 648,086.82
  5. Step 5: Solve for x
    x = 648,086.82/1,219.82
  6. Step 6: Final answer
    x = 531.30

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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.