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Finding the Fourth Proportional to 2,288.59, 3,431.91 and 989.13

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Solution

The fourth proportional to 2,288.59, 3,431.91 and 989.13 is: 1,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.59 : 3,431.91 = 989.13 : x
  2. Step 2: Convert to fraction form
    2,288.59/3,431.91 = 989.13/x
  3. Step 3: Cross multiply
    2,288.59x = 3,431.91 × 989.13
  4. Step 4: Simplify right side
    2,288.59x = 3,394,605.14
  5. Step 5: Solve for x
    x = 3,394,605.14/2,288.59
  6. Step 6: Final answer
    x = 1,483.27

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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.