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Finding the Fourth Proportional to 1,321.43, 1,824.24 and 923.45

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Solution

The fourth proportional to 1,321.43, 1,824.24 and 923.45 is: 1,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.43 : 1,824.24 = 923.45 : x
  2. Step 2: Convert to fraction form
    1,321.43/1,824.24 = 923.45/x
  3. Step 3: Cross multiply
    1,321.43x = 1,824.24 × 923.45
  4. Step 4: Simplify right side
    1,321.43x = 1,684,585.31
  5. Step 5: Solve for x
    x = 1,684,585.31/1,321.43
  6. Step 6: Final answer
    x = 1,274.82

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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.