Home / 1,466.29-2,023.07-942.62

Finding the Fourth Proportional to 1,466.29, 2,023.07 and 942.62

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Solution

The fourth proportional to 1,466.29, 2,023.07 and 942.62 is: 1,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.29 : 2,023.07 = 942.62 : x
  2. Step 2: Convert to fraction form
    1,466.29/2,023.07 = 942.62/x
  3. Step 3: Cross multiply
    1,466.29x = 2,023.07 × 942.62
  4. Step 4: Simplify right side
    1,466.29x = 1,906,993.66
  5. Step 5: Solve for x
    x = 1,906,993.66/1,466.29
  6. Step 6: Final answer
    x = 1,300.56

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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.