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Finding the Fourth Proportional to 4,660.82, 6,991.23 and 1,699.49

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Solution

The fourth proportional to 4,660.82, 6,991.23 and 1,699.49 is: 2,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.82 : 6,991.23 = 1,699.49 : x
  2. Step 2: Convert to fraction form
    4,660.82/6,991.23 = 1,699.49/x
  3. Step 3: Cross multiply
    4,660.82x = 6,991.23 × 1,699.49
  4. Step 4: Simplify right side
    4,660.82x = 11,881,490.52
  5. Step 5: Solve for x
    x = 11,881,490.52/4,660.82
  6. Step 6: Final answer
    x = 2,549.23

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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.