Home / 2,289.21-3,433.82-828.38

Finding the Fourth Proportional to 2,289.21, 3,433.82 and 828.38

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Solution

The fourth proportional to 2,289.21, 3,433.82 and 828.38 is: 1,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.21 : 3,433.82 = 828.38 : x
  2. Step 2: Convert to fraction form
    2,289.21/3,433.82 = 828.38/x
  3. Step 3: Cross multiply
    2,289.21x = 3,433.82 × 828.38
  4. Step 4: Simplify right side
    2,289.21x = 2,844,495.27
  5. Step 5: Solve for x
    x = 2,844,495.27/2,289.21
  6. Step 6: Final answer
    x = 1,242.57

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1.5x scale

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.