Home / 3,027.42-4,177.83-1,683.02

Finding the Fourth Proportional to 3,027.42, 4,177.83 and 1,683.02

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Solution

The fourth proportional to 3,027.42, 4,177.83 and 1,683.02 is: 2,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.42 : 4,177.83 = 1,683.02 : x
  2. Step 2: Convert to fraction form
    3,027.42/4,177.83 = 1,683.02/x
  3. Step 3: Cross multiply
    3,027.42x = 4,177.83 × 1,683.02
  4. Step 4: Simplify right side
    3,027.42x = 7,031,371.45
  5. Step 5: Solve for x
    x = 7,031,371.45/3,027.42
  6. Step 6: Final answer
    x = 2,322.56

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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.