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Finding the Fourth Proportional to 2,289.99, 3,434.27 and 828.95

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Solution

The fourth proportional to 2,289.99, 3,434.27 and 828.95 is: 1,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.99 : 3,434.27 = 828.95 : x
  2. Step 2: Convert to fraction form
    2,289.99/3,434.27 = 828.95/x
  3. Step 3: Cross multiply
    2,289.99x = 3,434.27 × 828.95
  4. Step 4: Simplify right side
    2,289.99x = 2,846,816.80
  5. Step 5: Solve for x
    x = 2,846,816.80/2,289.99
  6. Step 6: Final answer
    x = 1,243.16

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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.