Home / 2,974.86-4,462.25-1,027.08

Finding the Fourth Proportional to 2,974.86, 4,462.25 and 1,027.08

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Solution

The fourth proportional to 2,974.86, 4,462.25 and 1,027.08 is: 1,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.86 : 4,462.25 = 1,027.08 : x
  2. Step 2: Convert to fraction form
    2,974.86/4,462.25 = 1,027.08/x
  3. Step 3: Cross multiply
    2,974.86x = 4,462.25 × 1,027.08
  4. Step 4: Simplify right side
    2,974.86x = 4,583,082.59
  5. Step 5: Solve for x
    x = 4,583,082.59/2,974.86
  6. Step 6: Final answer
    x = 1,540.60

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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.