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Finding the Fourth Proportional to 2,287.45, 3,428.82 and 900.23

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Solution

The fourth proportional to 2,287.45, 3,428.82 and 900.23 is: 1,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.45 : 3,428.82 = 900.23 : x
  2. Step 2: Convert to fraction form
    2,287.45/3,428.82 = 900.23/x
  3. Step 3: Cross multiply
    2,287.45x = 3,428.82 × 900.23
  4. Step 4: Simplify right side
    2,287.45x = 3,086,709.48
  5. Step 5: Solve for x
    x = 3,086,709.48/2,287.45
  6. Step 6: Final answer
    x = 1,349.41

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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.