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Finding the Fourth Proportional to 2,274.36, 3,412.50 and 958.44

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Solution

The fourth proportional to 2,274.36, 3,412.50 and 958.44 is: 1,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.36 : 3,412.50 = 958.44 : x
  2. Step 2: Convert to fraction form
    2,274.36/3,412.50 = 958.44/x
  3. Step 3: Cross multiply
    2,274.36x = 3,412.50 × 958.44
  4. Step 4: Simplify right side
    2,274.36x = 3,270,676.50
  5. Step 5: Solve for x
    x = 3,270,676.50/2,274.36
  6. Step 6: Final answer
    x = 1,438.06

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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.