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Finding the Fourth Proportional to 4,469.46, 6,705.14 and 1,349.70

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Solution

The fourth proportional to 4,469.46, 6,705.14 and 1,349.70 is: 2,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.46 : 6,705.14 = 1,349.70 : x
  2. Step 2: Convert to fraction form
    4,469.46/6,705.14 = 1,349.70/x
  3. Step 3: Cross multiply
    4,469.46x = 6,705.14 × 1,349.70
  4. Step 4: Simplify right side
    4,469.46x = 9,049,927.46
  5. Step 5: Solve for x
    x = 9,049,927.46/4,469.46
  6. Step 6: Final answer
    x = 2,024.84

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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.