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Finding the Fourth Proportional to 2,647.57, 3,652.06 and 1,751.33

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Solution

The fourth proportional to 2,647.57, 3,652.06 and 1,751.33 is: 2,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.57 : 3,652.06 = 1,751.33 : x
  2. Step 2: Convert to fraction form
    2,647.57/3,652.06 = 1,751.33/x
  3. Step 3: Cross multiply
    2,647.57x = 3,652.06 × 1,751.33
  4. Step 4: Simplify right side
    2,647.57x = 6,395,971.37
  5. Step 5: Solve for x
    x = 6,395,971.37/2,647.57
  6. Step 6: Final answer
    x = 2,415.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.