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Finding the Fourth Proportional to 2,726.01, 4,089.71 and 778.23

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Solution

The fourth proportional to 2,726.01, 4,089.71 and 778.23 is: 1,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.01 : 4,089.71 = 778.23 : x
  2. Step 2: Convert to fraction form
    2,726.01/4,089.71 = 778.23/x
  3. Step 3: Cross multiply
    2,726.01x = 4,089.71 × 778.23
  4. Step 4: Simplify right side
    2,726.01x = 3,182,735.01
  5. Step 5: Solve for x
    x = 3,182,735.01/2,726.01
  6. Step 6: Final answer
    x = 1,167.54

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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.