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Finding the Fourth Proportional to 2,208.24, 3,312.78 and 747

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Solution

The fourth proportional to 2,208.24, 3,312.78 and 747 is: 1,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.24 : 3,312.78 = 747 : x
  2. Step 2: Convert to fraction form
    2,208.24/3,312.78 = 747/x
  3. Step 3: Cross multiply
    2,208.24x = 3,312.78 × 747
  4. Step 4: Simplify right side
    2,208.24x = 2,474,646.66
  5. Step 5: Solve for x
    x = 2,474,646.66/2,208.24
  6. Step 6: Final answer
    x = 1,120.64

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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.