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Finding the Fourth Proportional to 2,806.05, 4,209.03 and 958.46

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Solution

The fourth proportional to 2,806.05, 4,209.03 and 958.46 is: 1,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.05 : 4,209.03 = 958.46 : x
  2. Step 2: Convert to fraction form
    2,806.05/4,209.03 = 958.46/x
  3. Step 3: Cross multiply
    2,806.05x = 4,209.03 × 958.46
  4. Step 4: Simplify right side
    2,806.05x = 4,034,162.25
  5. Step 5: Solve for x
    x = 4,034,162.25/2,806.05
  6. Step 6: Final answer
    x = 1,437.67

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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.