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Finding the Fourth Proportional to 2,447.14, 3,670.74 and 715.80

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Solution

The fourth proportional to 2,447.14, 3,670.74 and 715.80 is: 1,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.14 : 3,670.74 = 715.80 : x
  2. Step 2: Convert to fraction form
    2,447.14/3,670.74 = 715.80/x
  3. Step 3: Cross multiply
    2,447.14x = 3,670.74 × 715.80
  4. Step 4: Simplify right side
    2,447.14x = 2,627,515.69
  5. Step 5: Solve for x
    x = 2,627,515.69/2,447.14
  6. Step 6: Final answer
    x = 1,073.71

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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.