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Finding the Fourth Proportional to 2,541.18, 3,811.98 and 809.80

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Solution

The fourth proportional to 2,541.18, 3,811.98 and 809.80 is: 1,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.18 : 3,811.98 = 809.80 : x
  2. Step 2: Convert to fraction form
    2,541.18/3,811.98 = 809.80/x
  3. Step 3: Cross multiply
    2,541.18x = 3,811.98 × 809.80
  4. Step 4: Simplify right side
    2,541.18x = 3,086,941.40
  5. Step 5: Solve for x
    x = 3,086,941.40/2,541.18
  6. Step 6: Final answer
    x = 1,214.77

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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.