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Finding the Fourth Proportional to 2,150.62, 2,969.60 and 1,752.33

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Solution

The fourth proportional to 2,150.62, 2,969.60 and 1,752.33 is: 2,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.62 : 2,969.60 = 1,752.33 : x
  2. Step 2: Convert to fraction form
    2,150.62/2,969.60 = 1,752.33/x
  3. Step 3: Cross multiply
    2,150.62x = 2,969.60 × 1,752.33
  4. Step 4: Simplify right side
    2,150.62x = 5,203,721.54
  5. Step 5: Solve for x
    x = 5,203,721.54/2,150.62
  6. Step 6: Final answer
    x = 2,419.64

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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.