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Finding the Fourth Proportional to 2,766.33, 3,818.34 and 2,210.67

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Solution

The fourth proportional to 2,766.33, 3,818.34 and 2,210.67 is: 3,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.33 : 3,818.34 = 2,210.67 : x
  2. Step 2: Convert to fraction form
    2,766.33/3,818.34 = 2,210.67/x
  3. Step 3: Cross multiply
    2,766.33x = 3,818.34 × 2,210.67
  4. Step 4: Simplify right side
    2,766.33x = 8,441,089.69
  5. Step 5: Solve for x
    x = 8,441,089.69/2,766.33
  6. Step 6: Final answer
    x = 3,051.37

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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.