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Finding the Fourth Proportional to 2,754.12, 4,134.12 and 1,111.80

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Solution

The fourth proportional to 2,754.12, 4,134.12 and 1,111.80 is: 1,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.12 : 4,134.12 = 1,111.80 : x
  2. Step 2: Convert to fraction form
    2,754.12/4,134.12 = 1,111.80/x
  3. Step 3: Cross multiply
    2,754.12x = 4,134.12 × 1,111.80
  4. Step 4: Simplify right side
    2,754.12x = 4,596,314.62
  5. Step 5: Solve for x
    x = 4,596,314.62/2,754.12
  6. Step 6: Final answer
    x = 1,668.89

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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.