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Finding the Fourth Proportional to 1,419.85, 1,958.29 and 922.65

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Solution

The fourth proportional to 1,419.85, 1,958.29 and 922.65 is: 1,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.85 : 1,958.29 = 922.65 : x
  2. Step 2: Convert to fraction form
    1,419.85/1,958.29 = 922.65/x
  3. Step 3: Cross multiply
    1,419.85x = 1,958.29 × 922.65
  4. Step 4: Simplify right side
    1,419.85x = 1,806,816.27
  5. Step 5: Solve for x
    x = 1,806,816.27/1,419.85
  6. Step 6: Final answer
    x = 1,272.54

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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.