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Finding the Fourth Proportional to 4,684, 7,027.14 and 1,606

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Solution

The fourth proportional to 4,684, 7,027.14 and 1,606 is: 2,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684 : 7,027.14 = 1,606 : x
  2. Step 2: Convert to fraction form
    4,684/7,027.14 = 1,606/x
  3. Step 3: Cross multiply
    4,684x = 7,027.14 × 1,606
  4. Step 4: Simplify right side
    4,684x = 11,285,586.84
  5. Step 5: Solve for x
    x = 11,285,586.84/4,684
  6. Step 6: Final answer
    x = 2,409.39

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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.