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Finding the Fourth Proportional to 2,652.14, 3,976.78 and 2,034.32

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Solution

The fourth proportional to 2,652.14, 3,976.78 and 2,034.32 is: 3,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.14 : 3,976.78 = 2,034.32 : x
  2. Step 2: Convert to fraction form
    2,652.14/3,976.78 = 2,034.32/x
  3. Step 3: Cross multiply
    2,652.14x = 3,976.78 × 2,034.32
  4. Step 4: Simplify right side
    2,652.14x = 8,090,043.09
  5. Step 5: Solve for x
    x = 8,090,043.09/2,652.14
  6. Step 6: Final answer
    x = 3,050.38

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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.