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Finding the Fourth Proportional to 2,551.86, 3,818.67 and 2,000.25

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Solution

The fourth proportional to 2,551.86, 3,818.67 and 2,000.25 is: 2,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.86 : 3,818.67 = 2,000.25 : x
  2. Step 2: Convert to fraction form
    2,551.86/3,818.67 = 2,000.25/x
  3. Step 3: Cross multiply
    2,551.86x = 3,818.67 × 2,000.25
  4. Step 4: Simplify right side
    2,551.86x = 7,638,294.67
  5. Step 5: Solve for x
    x = 7,638,294.67/2,551.86
  6. Step 6: Final answer
    x = 2,993.23

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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.