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Finding the Fourth Proportional to 2,021.80, 2,726.55 and 2,021.80

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Solution

The fourth proportional to 2,021.80, 2,726.55 and 2,021.80 is: 2,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.80 : 2,726.55 = 2,021.80 : x
  2. Step 2: Convert to fraction form
    2,021.80/2,726.55 = 2,021.80/x
  3. Step 3: Cross multiply
    2,021.80x = 2,726.55 × 2,021.80
  4. Step 4: Simplify right side
    2,021.80x = 5,512,538.79
  5. Step 5: Solve for x
    x = 5,512,538.79/2,021.80
  6. Step 6: Final answer
    x = 2,726.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.