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Finding the Fourth Proportional to 1,353.38, 2,030.14 and 379.56

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Solution

The fourth proportional to 1,353.38, 2,030.14 and 379.56 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.38 : 2,030.14 = 379.56 : x
  2. Step 2: Convert to fraction form
    1,353.38/2,030.14 = 379.56/x
  3. Step 3: Cross multiply
    1,353.38x = 2,030.14 × 379.56
  4. Step 4: Simplify right side
    1,353.38x = 770,553.75
  5. Step 5: Solve for x
    x = 770,553.75/1,353.38
  6. Step 6: Final answer
    x = 569.36

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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.