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Finding the Fourth Proportional to 2,012.78, 2,779.32 and 1,267.94

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Solution

The fourth proportional to 2,012.78, 2,779.32 and 1,267.94 is: 1,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.78 : 2,779.32 = 1,267.94 : x
  2. Step 2: Convert to fraction form
    2,012.78/2,779.32 = 1,267.94/x
  3. Step 3: Cross multiply
    2,012.78x = 2,779.32 × 1,267.94
  4. Step 4: Simplify right side
    2,012.78x = 3,524,011.00
  5. Step 5: Solve for x
    x = 3,524,011.00/2,012.78
  6. Step 6: Final answer
    x = 1,750.82

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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.