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Finding the Fourth Proportional to 2,279.44, 3,419.16 and 636.00

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Solution

The fourth proportional to 2,279.44, 3,419.16 and 636.00 is: 953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.44 : 3,419.16 = 636.00 : x
  2. Step 2: Convert to fraction form
    2,279.44/3,419.16 = 636.00/x
  3. Step 3: Cross multiply
    2,279.44x = 3,419.16 × 636.00
  4. Step 4: Simplify right side
    2,279.44x = 2,174,570.55
  5. Step 5: Solve for x
    x = 2,174,570.55/2,279.44
  6. Step 6: Final answer
    x = 953.99

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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.