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Finding the Fourth Proportional to 3,343.34, 4,614.14 and 1,946

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Solution

The fourth proportional to 3,343.34, 4,614.14 and 1,946 is: 2,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.34 : 4,614.14 = 1,946 : x
  2. Step 2: Convert to fraction form
    3,343.34/4,614.14 = 1,946/x
  3. Step 3: Cross multiply
    3,343.34x = 4,614.14 × 1,946
  4. Step 4: Simplify right side
    3,343.34x = 8,979,116.44
  5. Step 5: Solve for x
    x = 8,979,116.44/3,343.34
  6. Step 6: Final answer
    x = 2,685.67

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Why These Related Problems?

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