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Finding the Fourth Proportional to 2,765.20, 3,816.76 and 1,821.68

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Solution

The fourth proportional to 2,765.20, 3,816.76 and 1,821.68 is: 2,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.20 : 3,816.76 = 1,821.68 : x
  2. Step 2: Convert to fraction form
    2,765.20/3,816.76 = 1,821.68/x
  3. Step 3: Cross multiply
    2,765.20x = 3,816.76 × 1,821.68
  4. Step 4: Simplify right side
    2,765.20x = 6,952,915.36
  5. Step 5: Solve for x
    x = 6,952,915.36/2,765.20
  6. Step 6: Final answer
    x = 2,514.43

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