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Finding the Fourth Proportional to 1,420.25, 1,958.69 and 922.42

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Solution

The fourth proportional to 1,420.25, 1,958.69 and 922.42 is: 1,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.25 : 1,958.69 = 922.42 : x
  2. Step 2: Convert to fraction form
    1,420.25/1,958.69 = 922.42/x
  3. Step 3: Cross multiply
    1,420.25x = 1,958.69 × 922.42
  4. Step 4: Simplify right side
    1,420.25x = 1,806,720.42
  5. Step 5: Solve for x
    x = 1,806,720.42/1,420.25
  6. Step 6: Final answer
    x = 1,272.11

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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.