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Finding the Fourth Proportional to 1,419.21, 2,128.92 and 379.19

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Solution

The fourth proportional to 1,419.21, 2,128.92 and 379.19 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.21 : 2,128.92 = 379.19 : x
  2. Step 2: Convert to fraction form
    1,419.21/2,128.92 = 379.19/x
  3. Step 3: Cross multiply
    1,419.21x = 2,128.92 × 379.19
  4. Step 4: Simplify right side
    1,419.21x = 807,263.28
  5. Step 5: Solve for x
    x = 807,263.28/1,419.21
  6. Step 6: Final answer
    x = 568.81

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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.