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Finding the Fourth Proportional to 2,131.64, 2,940.78 and 1,235.32

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Solution

The fourth proportional to 2,131.64, 2,940.78 and 1,235.32 is: 1,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.64 : 2,940.78 = 1,235.32 : x
  2. Step 2: Convert to fraction form
    2,131.64/2,940.78 = 1,235.32/x
  3. Step 3: Cross multiply
    2,131.64x = 2,940.78 × 1,235.32
  4. Step 4: Simplify right side
    2,131.64x = 3,632,804.35
  5. Step 5: Solve for x
    x = 3,632,804.35/2,131.64
  6. Step 6: Final answer
    x = 1,704.23

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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.