Home / 1,622.07-2,238.47-923.45

Finding the Fourth Proportional to 1,622.07, 2,238.47 and 923.45

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Solution

The fourth proportional to 1,622.07, 2,238.47 and 923.45 is: 1,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.07 : 2,238.47 = 923.45 : x
  2. Step 2: Convert to fraction form
    1,622.07/2,238.47 = 923.45/x
  3. Step 3: Cross multiply
    1,622.07x = 2,238.47 × 923.45
  4. Step 4: Simplify right side
    1,622.07x = 2,067,099.31
  5. Step 5: Solve for x
    x = 2,067,099.31/1,622.07
  6. Step 6: Final answer
    x = 1,274.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.