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Finding the Fourth Proportional to 2,255.78, 3,386.16 and 1,796.51

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Solution

The fourth proportional to 2,255.78, 3,386.16 and 1,796.51 is: 2,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.78 : 3,386.16 = 1,796.51 : x
  2. Step 2: Convert to fraction form
    2,255.78/3,386.16 = 1,796.51/x
  3. Step 3: Cross multiply
    2,255.78x = 3,386.16 × 1,796.51
  4. Step 4: Simplify right side
    2,255.78x = 6,083,253.37
  5. Step 5: Solve for x
    x = 6,083,253.37/2,255.78
  6. Step 6: Final answer
    x = 2,696.75

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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.