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Finding the Fourth Proportional to 2,609.56, 3,908.82 and 1,783.96

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Solution

The fourth proportional to 2,609.56, 3,908.82 and 1,783.96 is: 2,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.56 : 3,908.82 = 1,783.96 : x
  2. Step 2: Convert to fraction form
    2,609.56/3,908.82 = 1,783.96/x
  3. Step 3: Cross multiply
    2,609.56x = 3,908.82 × 1,783.96
  4. Step 4: Simplify right side
    2,609.56x = 6,973,178.53
  5. Step 5: Solve for x
    x = 6,973,178.53/2,609.56
  6. Step 6: Final answer
    x = 2,672.17

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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.