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Finding the Fourth Proportional to 2,540.23, 3,810.35 and 808.86

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Solution

The fourth proportional to 2,540.23, 3,810.35 and 808.86 is: 1,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.23 : 3,810.35 = 808.86 : x
  2. Step 2: Convert to fraction form
    2,540.23/3,810.35 = 808.86/x
  3. Step 3: Cross multiply
    2,540.23x = 3,810.35 × 808.86
  4. Step 4: Simplify right side
    2,540.23x = 3,082,016.60
  5. Step 5: Solve for x
    x = 3,082,016.60/2,540.23
  6. Step 6: Final answer
    x = 1,213.28

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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.