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Finding the Fourth Proportional to 1,664.97, 2,497.94 and 539.21

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Solution

The fourth proportional to 1,664.97, 2,497.94 and 539.21 is: 808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.97 : 2,497.94 = 539.21 : x
  2. Step 2: Convert to fraction form
    1,664.97/2,497.94 = 539.21/x
  3. Step 3: Cross multiply
    1,664.97x = 2,497.94 × 539.21
  4. Step 4: Simplify right side
    1,664.97x = 1,346,911.53
  5. Step 5: Solve for x
    x = 1,346,911.53/1,664.97
  6. Step 6: Final answer
    x = 808.97

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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.