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Finding the Fourth Proportional to 2,011.78, 3,012.78 and 1,393.75

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Solution

The fourth proportional to 2,011.78, 3,012.78 and 1,393.75 is: 2,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.78 : 3,012.78 = 1,393.75 : x
  2. Step 2: Convert to fraction form
    2,011.78/3,012.78 = 1,393.75/x
  3. Step 3: Cross multiply
    2,011.78x = 3,012.78 × 1,393.75
  4. Step 4: Simplify right side
    2,011.78x = 4,199,062.13
  5. Step 5: Solve for x
    x = 4,199,062.13/2,011.78
  6. Step 6: Final answer
    x = 2,087.24

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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.