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Finding the Fourth Proportional to 2,274.06, 3,409.63 and 958.67

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Solution

The fourth proportional to 2,274.06, 3,409.63 and 958.67 is: 1,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.06 : 3,409.63 = 958.67 : x
  2. Step 2: Convert to fraction form
    2,274.06/3,409.63 = 958.67/x
  3. Step 3: Cross multiply
    2,274.06x = 3,409.63 × 958.67
  4. Step 4: Simplify right side
    2,274.06x = 3,268,709.99
  5. Step 5: Solve for x
    x = 3,268,709.99/2,274.06
  6. Step 6: Final answer
    x = 1,437.39

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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.