Home / 2,273.37-3,409.44-974.53

Finding the Fourth Proportional to 2,273.37, 3,409.44 and 974.53

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Solution

The fourth proportional to 2,273.37, 3,409.44 and 974.53 is: 1,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.37 : 3,409.44 = 974.53 : x
  2. Step 2: Convert to fraction form
    2,273.37/3,409.44 = 974.53/x
  3. Step 3: Cross multiply
    2,273.37x = 3,409.44 × 974.53
  4. Step 4: Simplify right side
    2,273.37x = 3,322,607.65
  5. Step 5: Solve for x
    x = 3,322,607.65/2,273.37
  6. Step 6: Final answer
    x = 1,461.54

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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.