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Finding the Fourth Proportional to 2,655.81, 3,980.07 and 1,354.55

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Solution

The fourth proportional to 2,655.81, 3,980.07 and 1,354.55 is: 2,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.81 : 3,980.07 = 1,354.55 : x
  2. Step 2: Convert to fraction form
    2,655.81/3,980.07 = 1,354.55/x
  3. Step 3: Cross multiply
    2,655.81x = 3,980.07 × 1,354.55
  4. Step 4: Simplify right side
    2,655.81x = 5,391,183.92
  5. Step 5: Solve for x
    x = 5,391,183.92/2,655.81
  6. Step 6: Final answer
    x = 2,029.96

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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.