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Finding the Fourth Proportional to 1,353.37, 2,030.06 and 379.48

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Solution

The fourth proportional to 1,353.37, 2,030.06 and 379.48 is: 569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.37 : 2,030.06 = 379.48 : x
  2. Step 2: Convert to fraction form
    1,353.37/2,030.06 = 379.48/x
  3. Step 3: Cross multiply
    1,353.37x = 2,030.06 × 379.48
  4. Step 4: Simplify right side
    1,353.37x = 770,355.12
  5. Step 5: Solve for x
    x = 770,355.12/1,353.37
  6. Step 6: Final answer
    x = 569.21

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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.