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Finding the Fourth Proportional to 3,208.00, 4,812.90 and 1,234.53

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Solution

The fourth proportional to 3,208.00, 4,812.90 and 1,234.53 is: 1,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.00 : 4,812.90 = 1,234.53 : x
  2. Step 2: Convert to fraction form
    3,208.00/4,812.90 = 1,234.53/x
  3. Step 3: Cross multiply
    3,208.00x = 4,812.90 × 1,234.53
  4. Step 4: Simplify right side
    3,208.00x = 5,941,669.44
  5. Step 5: Solve for x
    x = 5,941,669.44/3,208.00
  6. Step 6: Final answer
    x = 1,852.14

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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.