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Finding the Fourth Proportional to 2,279.44, 3,418.14 and 962.92

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Solution

The fourth proportional to 2,279.44, 3,418.14 and 962.92 is: 1,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.44 : 3,418.14 = 962.92 : x
  2. Step 2: Convert to fraction form
    2,279.44/3,418.14 = 962.92/x
  3. Step 3: Cross multiply
    2,279.44x = 3,418.14 × 962.92
  4. Step 4: Simplify right side
    2,279.44x = 3,291,395.37
  5. Step 5: Solve for x
    x = 3,291,395.37/2,279.44
  6. Step 6: Final answer
    x = 1,443.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.