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Finding the Fourth Proportional to 1,422.50, 1,958.81 and 1,023.45

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Solution

The fourth proportional to 1,422.50, 1,958.81 and 1,023.45 is: 1,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.50 : 1,958.81 = 1,023.45 : x
  2. Step 2: Convert to fraction form
    1,422.50/1,958.81 = 1,023.45/x
  3. Step 3: Cross multiply
    1,422.50x = 1,958.81 × 1,023.45
  4. Step 4: Simplify right side
    1,422.50x = 2,004,744.09
  5. Step 5: Solve for x
    x = 2,004,744.09/1,422.50
  6. Step 6: Final answer
    x = 1,409.31

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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.