Home / 2,414.30-3,622.80-1,027.40

Finding the Fourth Proportional to 2,414.30, 3,622.80 and 1,027.40

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Solution

The fourth proportional to 2,414.30, 3,622.80 and 1,027.40 is: 1,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.30 : 3,622.80 = 1,027.40 : x
  2. Step 2: Convert to fraction form
    2,414.30/3,622.80 = 1,027.40/x
  3. Step 3: Cross multiply
    2,414.30x = 3,622.80 × 1,027.40
  4. Step 4: Simplify right side
    2,414.30x = 3,722,064.72
  5. Step 5: Solve for x
    x = 3,722,064.72/2,414.30
  6. Step 6: Final answer
    x = 1,541.67

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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.