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Finding the Fourth Proportional to 2,600.97, 3,903.00 and 958.67

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Solution

The fourth proportional to 2,600.97, 3,903.00 and 958.67 is: 1,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.97 : 3,903.00 = 958.67 : x
  2. Step 2: Convert to fraction form
    2,600.97/3,903.00 = 958.67/x
  3. Step 3: Cross multiply
    2,600.97x = 3,903.00 × 958.67
  4. Step 4: Simplify right side
    2,600.97x = 3,741,684.22
  5. Step 5: Solve for x
    x = 3,741,684.22/2,600.97
  6. Step 6: Final answer
    x = 1,438.57

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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.