Home / 1,362.46-2,042.22-976.54

Finding the Fourth Proportional to 1,362.46, 2,042.22 and 976.54

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Solution

The fourth proportional to 1,362.46, 2,042.22 and 976.54 is: 1,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.46 : 2,042.22 = 976.54 : x
  2. Step 2: Convert to fraction form
    1,362.46/2,042.22 = 976.54/x
  3. Step 3: Cross multiply
    1,362.46x = 2,042.22 × 976.54
  4. Step 4: Simplify right side
    1,362.46x = 1,994,309.52
  5. Step 5: Solve for x
    x = 1,994,309.52/1,362.46
  6. Step 6: Final answer
    x = 1,463.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.