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Finding the Fourth Proportional to 1,845.25, 2,761.38 and 1,152.25

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Solution

The fourth proportional to 1,845.25, 2,761.38 and 1,152.25 is: 1,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.25 : 2,761.38 = 1,152.25 : x
  2. Step 2: Convert to fraction form
    1,845.25/2,761.38 = 1,152.25/x
  3. Step 3: Cross multiply
    1,845.25x = 2,761.38 × 1,152.25
  4. Step 4: Simplify right side
    1,845.25x = 3,181,800.11
  5. Step 5: Solve for x
    x = 3,181,800.11/1,845.25
  6. Step 6: Final answer
    x = 1,724.32

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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.