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Finding the Fourth Proportional to 2,726.08, 4,089.26 and 778.57

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Solution

The fourth proportional to 2,726.08, 4,089.26 and 778.57 is: 1,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.08 : 4,089.26 = 778.57 : x
  2. Step 2: Convert to fraction form
    2,726.08/4,089.26 = 778.57/x
  3. Step 3: Cross multiply
    2,726.08x = 4,089.26 × 778.57
  4. Step 4: Simplify right side
    2,726.08x = 3,183,771.27
  5. Step 5: Solve for x
    x = 3,183,771.27/2,726.08
  6. Step 6: Final answer
    x = 1,167.89

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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.