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Finding the Fourth Proportional to 2,257.57, 3,386.00 and 796.51

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Solution

The fourth proportional to 2,257.57, 3,386.00 and 796.51 is: 1,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.57 : 3,386.00 = 796.51 : x
  2. Step 2: Convert to fraction form
    2,257.57/3,386.00 = 796.51/x
  3. Step 3: Cross multiply
    2,257.57x = 3,386.00 × 796.51
  4. Step 4: Simplify right side
    2,257.57x = 2,696,978.88
  5. Step 5: Solve for x
    x = 2,696,978.88/2,257.57
  6. Step 6: Final answer
    x = 1,194.64

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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.