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Finding the Fourth Proportional to 2,451.89, 3,657.23 and 2,230.45

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Solution

The fourth proportional to 2,451.89, 3,657.23 and 2,230.45 is: 3,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.89 : 3,657.23 = 2,230.45 : x
  2. Step 2: Convert to fraction form
    2,451.89/3,657.23 = 2,230.45/x
  3. Step 3: Cross multiply
    2,451.89x = 3,657.23 × 2,230.45
  4. Step 4: Simplify right side
    2,451.89x = 8,157,289.84
  5. Step 5: Solve for x
    x = 8,157,289.84/2,451.89
  6. Step 6: Final answer
    x = 3,326.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.