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Finding the Fourth Proportional to 2,272.95, 3,409.94 and 955.96

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Solution

The fourth proportional to 2,272.95, 3,409.94 and 955.96 is: 1,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.95 : 3,409.94 = 955.96 : x
  2. Step 2: Convert to fraction form
    2,272.95/3,409.94 = 955.96/x
  3. Step 3: Cross multiply
    2,272.95x = 3,409.94 × 955.96
  4. Step 4: Simplify right side
    2,272.95x = 3,259,760.11
  5. Step 5: Solve for x
    x = 3,259,760.11/2,272.95
  6. Step 6: Final answer
    x = 1,434.15

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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.