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Finding the Fourth Proportional to 2,552.97, 3,829.01 and 703.64

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Solution

The fourth proportional to 2,552.97, 3,829.01 and 703.64 is: 1,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.97 : 3,829.01 = 703.64 : x
  2. Step 2: Convert to fraction form
    2,552.97/3,829.01 = 703.64/x
  3. Step 3: Cross multiply
    2,552.97x = 3,829.01 × 703.64
  4. Step 4: Simplify right side
    2,552.97x = 2,694,221.93
  5. Step 5: Solve for x
    x = 2,694,221.93/2,552.97
  6. Step 6: Final answer
    x = 1,055.33

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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.