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Finding the Fourth Proportional to 1,234.08, 1,835.46 and 1,208.16

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Solution

The fourth proportional to 1,234.08, 1,835.46 and 1,208.16 is: 1,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.08 : 1,835.46 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    1,234.08/1,835.46 = 1,208.16/x
  3. Step 3: Cross multiply
    1,234.08x = 1,835.46 × 1,208.16
  4. Step 4: Simplify right side
    1,234.08x = 2,217,529.35
  5. Step 5: Solve for x
    x = 2,217,529.35/1,234.08
  6. Step 6: Final answer
    x = 1,796.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.