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Finding the Fourth Proportional to 2,666.76, 3,680.70 and 1,618.56

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Solution

The fourth proportional to 2,666.76, 3,680.70 and 1,618.56 is: 2,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.76 : 3,680.70 = 1,618.56 : x
  2. Step 2: Convert to fraction form
    2,666.76/3,680.70 = 1,618.56/x
  3. Step 3: Cross multiply
    2,666.76x = 3,680.70 × 1,618.56
  4. Step 4: Simplify right side
    2,666.76x = 5,957,433.79
  5. Step 5: Solve for x
    x = 5,957,433.79/2,666.76
  6. Step 6: Final answer
    x = 2,233.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.