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Finding the Fourth Proportional to 2,208.20, 3,312.96 and 783.56

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Solution

The fourth proportional to 2,208.20, 3,312.96 and 783.56 is: 1,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.20 : 3,312.96 = 783.56 : x
  2. Step 2: Convert to fraction form
    2,208.20/3,312.96 = 783.56/x
  3. Step 3: Cross multiply
    2,208.20x = 3,312.96 × 783.56
  4. Step 4: Simplify right side
    2,208.20x = 2,595,902.94
  5. Step 5: Solve for x
    x = 2,595,902.94/2,208.20
  6. Step 6: Final answer
    x = 1,175.57

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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.