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Finding the Fourth Proportional to 2,955, 4,078.44 and 2,072.16

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Solution

The fourth proportional to 2,955, 4,078.44 and 2,072.16 is: 2,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955 : 4,078.44 = 2,072.16 : x
  2. Step 2: Convert to fraction form
    2,955/4,078.44 = 2,072.16/x
  3. Step 3: Cross multiply
    2,955x = 4,078.44 × 2,072.16
  4. Step 4: Simplify right side
    2,955x = 8,451,180.23
  5. Step 5: Solve for x
    x = 8,451,180.23/2,955
  6. Step 6: Final answer
    x = 2,859.96

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Why These Related Problems?

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