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Finding the Fourth Proportional to 1,419.09, 1,960.19 and 976.22

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Solution

The fourth proportional to 1,419.09, 1,960.19 and 976.22 is: 1,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.09 : 1,960.19 = 976.22 : x
  2. Step 2: Convert to fraction form
    1,419.09/1,960.19 = 976.22/x
  3. Step 3: Cross multiply
    1,419.09x = 1,960.19 × 976.22
  4. Step 4: Simplify right side
    1,419.09x = 1,913,562.00
  5. Step 5: Solve for x
    x = 1,913,562.00/1,419.09
  6. Step 6: Final answer
    x = 1,348.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.