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Finding the Fourth Proportional to 2,246.21, 3,370.86 and 785.36

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Solution

The fourth proportional to 2,246.21, 3,370.86 and 785.36 is: 1,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.21 : 3,370.86 = 785.36 : x
  2. Step 2: Convert to fraction form
    2,246.21/3,370.86 = 785.36/x
  3. Step 3: Cross multiply
    2,246.21x = 3,370.86 × 785.36
  4. Step 4: Simplify right side
    2,246.21x = 2,647,334.68
  5. Step 5: Solve for x
    x = 2,647,334.68/2,246.21
  6. Step 6: Final answer
    x = 1,178.58

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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.