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Finding the Fourth Proportional to 2,711.45, 4,066.23 and 956

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Solution

The fourth proportional to 2,711.45, 4,066.23 and 956 is: 1,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.45 : 4,066.23 = 956 : x
  2. Step 2: Convert to fraction form
    2,711.45/4,066.23 = 956/x
  3. Step 3: Cross multiply
    2,711.45x = 4,066.23 × 956
  4. Step 4: Simplify right side
    2,711.45x = 3,887,315.88
  5. Step 5: Solve for x
    x = 3,887,315.88/2,711.45
  6. Step 6: Final answer
    x = 1,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.