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Finding the Fourth Proportional to 2,302.81, 3,174.96 and 1,556.26

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Solution

The fourth proportional to 2,302.81, 3,174.96 and 1,556.26 is: 2,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.81 : 3,174.96 = 1,556.26 : x
  2. Step 2: Convert to fraction form
    2,302.81/3,174.96 = 1,556.26/x
  3. Step 3: Cross multiply
    2,302.81x = 3,174.96 × 1,556.26
  4. Step 4: Simplify right side
    2,302.81x = 4,941,063.25
  5. Step 5: Solve for x
    x = 4,941,063.25/2,302.81
  6. Step 6: Final answer
    x = 2,145.67

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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.