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Finding the Fourth Proportional to 2,517.36, 3,780.23 and 2,109.93

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Solution

The fourth proportional to 2,517.36, 3,780.23 and 2,109.93 is: 3,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.36 : 3,780.23 = 2,109.93 : x
  2. Step 2: Convert to fraction form
    2,517.36/3,780.23 = 2,109.93/x
  3. Step 3: Cross multiply
    2,517.36x = 3,780.23 × 2,109.93
  4. Step 4: Simplify right side
    2,517.36x = 7,976,010.13
  5. Step 5: Solve for x
    x = 7,976,010.13/2,517.36
  6. Step 6: Final answer
    x = 3,168.40

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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.