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Finding the Fourth Proportional to 2,032.86, 3,049.26 and 716.55

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Solution

The fourth proportional to 2,032.86, 3,049.26 and 716.55 is: 1,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.86 : 3,049.26 = 716.55 : x
  2. Step 2: Convert to fraction form
    2,032.86/3,049.26 = 716.55/x
  3. Step 3: Cross multiply
    2,032.86x = 3,049.26 × 716.55
  4. Step 4: Simplify right side
    2,032.86x = 2,184,947.25
  5. Step 5: Solve for x
    x = 2,184,947.25/2,032.86
  6. Step 6: Final answer
    x = 1,074.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.