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Finding the Fourth Proportional to 2,302.44, 3,453.08 and 659

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Solution

The fourth proportional to 2,302.44, 3,453.08 and 659 is: 988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.44 : 3,453.08 = 659 : x
  2. Step 2: Convert to fraction form
    2,302.44/3,453.08 = 659/x
  3. Step 3: Cross multiply
    2,302.44x = 3,453.08 × 659
  4. Step 4: Simplify right side
    2,302.44x = 2,275,579.72
  5. Step 5: Solve for x
    x = 2,275,579.72/2,302.44
  6. Step 6: Final answer
    x = 988.33

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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.