Home / 1,474.24-2,033.60-976.96

Finding the Fourth Proportional to 1,474.24, 2,033.60 and 976.96

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Solution

The fourth proportional to 1,474.24, 2,033.60 and 976.96 is: 1,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.24 : 2,033.60 = 976.96 : x
  2. Step 2: Convert to fraction form
    1,474.24/2,033.60 = 976.96/x
  3. Step 3: Cross multiply
    1,474.24x = 2,033.60 × 976.96
  4. Step 4: Simplify right side
    1,474.24x = 1,986,745.86
  5. Step 5: Solve for x
    x = 1,986,745.86/1,474.24
  6. Step 6: Final answer
    x = 1,347.64

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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.