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Finding the Fourth Proportional to 2,851.96, 4,278.93 and 1,186.98

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Solution

The fourth proportional to 2,851.96, 4,278.93 and 1,186.98 is: 1,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.96 : 4,278.93 = 1,186.98 : x
  2. Step 2: Convert to fraction form
    2,851.96/4,278.93 = 1,186.98/x
  3. Step 3: Cross multiply
    2,851.96x = 4,278.93 × 1,186.98
  4. Step 4: Simplify right side
    2,851.96x = 5,079,004.33
  5. Step 5: Solve for x
    x = 5,079,004.33/2,851.96
  6. Step 6: Final answer
    x = 1,780.88

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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.