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Finding the Fourth Proportional to 2,227.89, 3,341.68 and 768.07

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Solution

The fourth proportional to 2,227.89, 3,341.68 and 768.07 is: 1,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.89 : 3,341.68 = 768.07 : x
  2. Step 2: Convert to fraction form
    2,227.89/3,341.68 = 768.07/x
  3. Step 3: Cross multiply
    2,227.89x = 3,341.68 × 768.07
  4. Step 4: Simplify right side
    2,227.89x = 2,566,638.20
  5. Step 5: Solve for x
    x = 2,566,638.20/2,227.89
  6. Step 6: Final answer
    x = 1,152.05

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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.