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Finding the Fourth Proportional to 2,629.57, 3,945.07 and 874.86

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Solution

The fourth proportional to 2,629.57, 3,945.07 and 874.86 is: 1,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.57 : 3,945.07 = 874.86 : x
  2. Step 2: Convert to fraction form
    2,629.57/3,945.07 = 874.86/x
  3. Step 3: Cross multiply
    2,629.57x = 3,945.07 × 874.86
  4. Step 4: Simplify right side
    2,629.57x = 3,451,365.32
  5. Step 5: Solve for x
    x = 3,451,365.32/2,629.57
  6. Step 6: Final answer
    x = 1,312.52

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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.