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Finding the Fourth Proportional to 2,072.67, 2,860.35 and 1,188.64

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Solution

The fourth proportional to 2,072.67, 2,860.35 and 1,188.64 is: 1,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.67 : 2,860.35 = 1,188.64 : x
  2. Step 2: Convert to fraction form
    2,072.67/2,860.35 = 1,188.64/x
  3. Step 3: Cross multiply
    2,072.67x = 2,860.35 × 1,188.64
  4. Step 4: Simplify right side
    2,072.67x = 3,399,926.42
  5. Step 5: Solve for x
    x = 3,399,926.42/2,072.67
  6. Step 6: Final answer
    x = 1,640.36

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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.