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Finding the Fourth Proportional to 3,491.96, 4,818.96 and 2,000.34

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Solution

The fourth proportional to 3,491.96, 4,818.96 and 2,000.34 is: 2,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.96 : 4,818.96 = 2,000.34 : x
  2. Step 2: Convert to fraction form
    3,491.96/4,818.96 = 2,000.34/x
  3. Step 3: Cross multiply
    3,491.96x = 4,818.96 × 2,000.34
  4. Step 4: Simplify right side
    3,491.96x = 9,639,558.45
  5. Step 5: Solve for x
    x = 9,639,558.45/3,491.96
  6. Step 6: Final answer
    x = 2,760.50

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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.