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Finding the Fourth Proportional to 1,419.97, 1,958.52 and 922.24

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Solution

The fourth proportional to 1,419.97, 1,958.52 and 922.24 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.97 : 1,958.52 = 922.24 : x
  2. Step 2: Convert to fraction form
    1,419.97/1,958.52 = 922.24/x
  3. Step 3: Cross multiply
    1,419.97x = 1,958.52 × 922.24
  4. Step 4: Simplify right side
    1,419.97x = 1,806,225.48
  5. Step 5: Solve for x
    x = 1,806,225.48/1,419.97
  6. Step 6: Final answer
    x = 1,272.02

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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.