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Finding the Fourth Proportional to 2,072.96, 2,860.36 and 1,188.64

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Solution

The fourth proportional to 2,072.96, 2,860.36 and 1,188.64 is: 1,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.96 : 2,860.36 = 1,188.64 : x
  2. Step 2: Convert to fraction form
    2,072.96/2,860.36 = 1,188.64/x
  3. Step 3: Cross multiply
    2,072.96x = 2,860.36 × 1,188.64
  4. Step 4: Simplify right side
    2,072.96x = 3,399,938.31
  5. Step 5: Solve for x
    x = 3,399,938.31/2,072.96
  6. Step 6: Final answer
    x = 1,640.14

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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.