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Finding the Fourth Proportional to 2,277.21, 3,416.38 and 717.41

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Solution

The fourth proportional to 2,277.21, 3,416.38 and 717.41 is: 1,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.21 : 3,416.38 = 717.41 : x
  2. Step 2: Convert to fraction form
    2,277.21/3,416.38 = 717.41/x
  3. Step 3: Cross multiply
    2,277.21x = 3,416.38 × 717.41
  4. Step 4: Simplify right side
    2,277.21x = 2,450,932.71
  5. Step 5: Solve for x
    x = 2,450,932.71/2,277.21
  6. Step 6: Final answer
    x = 1,076.29

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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.