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Finding the Fourth Proportional to 2,272.41, 3,408.93 and 955.95

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Solution

The fourth proportional to 2,272.41, 3,408.93 and 955.95 is: 1,434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.41 : 3,408.93 = 955.95 : x
  2. Step 2: Convert to fraction form
    2,272.41/3,408.93 = 955.95/x
  3. Step 3: Cross multiply
    2,272.41x = 3,408.93 × 955.95
  4. Step 4: Simplify right side
    2,272.41x = 3,258,766.63
  5. Step 5: Solve for x
    x = 3,258,766.63/2,272.41
  6. Step 6: Final answer
    x = 1,434.06

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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.