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Finding the Fourth Proportional to 2,289.62, 3,434.41 and 828.42

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Solution

The fourth proportional to 2,289.62, 3,434.41 and 828.42 is: 1,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.62 : 3,434.41 = 828.42 : x
  2. Step 2: Convert to fraction form
    2,289.62/3,434.41 = 828.42/x
  3. Step 3: Cross multiply
    2,289.62x = 3,434.41 × 828.42
  4. Step 4: Simplify right side
    2,289.62x = 2,845,133.93
  5. Step 5: Solve for x
    x = 2,845,133.93/2,289.62
  6. Step 6: Final answer
    x = 1,242.62

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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.