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Finding the Fourth Proportional to 1,845.87, 2,768.81 and 750.24

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Solution

The fourth proportional to 1,845.87, 2,768.81 and 750.24 is: 1,125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.87 : 2,768.81 = 750.24 : x
  2. Step 2: Convert to fraction form
    1,845.87/2,768.81 = 750.24/x
  3. Step 3: Cross multiply
    1,845.87x = 2,768.81 × 750.24
  4. Step 4: Simplify right side
    1,845.87x = 2,077,268.26
  5. Step 5: Solve for x
    x = 2,077,268.26/1,845.87
  6. Step 6: Final answer
    x = 1,125.36

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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.