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Finding the Fourth Proportional to 2,128.05, 3,189.80 and 956.46

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Solution

The fourth proportional to 2,128.05, 3,189.80 and 956.46 is: 1,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.05 : 3,189.80 = 956.46 : x
  2. Step 2: Convert to fraction form
    2,128.05/3,189.80 = 956.46/x
  3. Step 3: Cross multiply
    2,128.05x = 3,189.80 × 956.46
  4. Step 4: Simplify right side
    2,128.05x = 3,050,911.33
  5. Step 5: Solve for x
    x = 3,050,911.33/2,128.05
  6. Step 6: Final answer
    x = 1,433.67

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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.