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Finding the Fourth Proportional to 2,764, 3,821.52 and 2,641.60

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Solution

The fourth proportional to 2,764, 3,821.52 and 2,641.60 is: 3,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764 : 3,821.52 = 2,641.60 : x
  2. Step 2: Convert to fraction form
    2,764/3,821.52 = 2,641.60/x
  3. Step 3: Cross multiply
    2,764x = 3,821.52 × 2,641.60
  4. Step 4: Simplify right side
    2,764x = 10,094,927.23
  5. Step 5: Solve for x
    x = 10,094,927.23/2,764
  6. Step 6: Final answer
    x = 3,652.29

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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.