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Finding the Fourth Proportional to 2,447.88, 3,672.42 and 716.50

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Solution

The fourth proportional to 2,447.88, 3,672.42 and 716.50 is: 1,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.88 : 3,672.42 = 716.50 : x
  2. Step 2: Convert to fraction form
    2,447.88/3,672.42 = 716.50/x
  3. Step 3: Cross multiply
    2,447.88x = 3,672.42 × 716.50
  4. Step 4: Simplify right side
    2,447.88x = 2,631,288.93
  5. Step 5: Solve for x
    x = 2,631,288.93/2,447.88
  6. Step 6: Final answer
    x = 1,074.93

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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.