Home / 2,466.43-3,698.28-822.08

Finding the Fourth Proportional to 2,466.43, 3,698.28 and 822.08

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Solution

The fourth proportional to 2,466.43, 3,698.28 and 822.08 is: 1,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.43 : 3,698.28 = 822.08 : x
  2. Step 2: Convert to fraction form
    2,466.43/3,698.28 = 822.08/x
  3. Step 3: Cross multiply
    2,466.43x = 3,698.28 × 822.08
  4. Step 4: Simplify right side
    2,466.43x = 3,040,282.02
  5. Step 5: Solve for x
    x = 3,040,282.02/2,466.43
  6. Step 6: Final answer
    x = 1,232.67

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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.