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Finding the Fourth Proportional to 2,764.18, 4,146.90 and 816.31

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Solution

The fourth proportional to 2,764.18, 4,146.90 and 816.31 is: 1,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.18 : 4,146.90 = 816.31 : x
  2. Step 2: Convert to fraction form
    2,764.18/4,146.90 = 816.31/x
  3. Step 3: Cross multiply
    2,764.18x = 4,146.90 × 816.31
  4. Step 4: Simplify right side
    2,764.18x = 3,385,155.94
  5. Step 5: Solve for x
    x = 3,385,155.94/2,764.18
  6. Step 6: Final answer
    x = 1,224.65

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