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Finding the Fourth Proportional to 2,772.99, 3,826.74 and 1,514.07

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Solution

The fourth proportional to 2,772.99, 3,826.74 and 1,514.07 is: 2,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.99 : 3,826.74 = 1,514.07 : x
  2. Step 2: Convert to fraction form
    2,772.99/3,826.74 = 1,514.07/x
  3. Step 3: Cross multiply
    2,772.99x = 3,826.74 × 1,514.07
  4. Step 4: Simplify right side
    2,772.99x = 5,793,952.23
  5. Step 5: Solve for x
    x = 5,793,952.23/2,772.99
  6. Step 6: Final answer
    x = 2,089.42

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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.