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Finding the Fourth Proportional to 2,357.27, 3,252.87 and 1,309.25

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Solution

The fourth proportional to 2,357.27, 3,252.87 and 1,309.25 is: 1,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.27 : 3,252.87 = 1,309.25 : x
  2. Step 2: Convert to fraction form
    2,357.27/3,252.87 = 1,309.25/x
  3. Step 3: Cross multiply
    2,357.27x = 3,252.87 × 1,309.25
  4. Step 4: Simplify right side
    2,357.27x = 4,258,820.05
  5. Step 5: Solve for x
    x = 4,258,820.05/2,357.27
  6. Step 6: Final answer
    x = 1,806.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.