Home / 1,622.25-2,238.84-923.76

Finding the Fourth Proportional to 1,622.25, 2,238.84 and 923.76

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Solution

The fourth proportional to 1,622.25, 2,238.84 and 923.76 is: 1,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.25 : 2,238.84 = 923.76 : x
  2. Step 2: Convert to fraction form
    1,622.25/2,238.84 = 923.76/x
  3. Step 3: Cross multiply
    1,622.25x = 2,238.84 × 923.76
  4. Step 4: Simplify right side
    1,622.25x = 2,068,150.84
  5. Step 5: Solve for x
    x = 2,068,150.84/1,622.25
  6. Step 6: Final answer
    x = 1,274.87

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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.