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Finding the Fourth Proportional to 2,502.33, 3,454.61 and 1,664.18

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Solution

The fourth proportional to 2,502.33, 3,454.61 and 1,664.18 is: 2,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.33 : 3,454.61 = 1,664.18 : x
  2. Step 2: Convert to fraction form
    2,502.33/3,454.61 = 1,664.18/x
  3. Step 3: Cross multiply
    2,502.33x = 3,454.61 × 1,664.18
  4. Step 4: Simplify right side
    2,502.33x = 5,749,092.87
  5. Step 5: Solve for x
    x = 5,749,092.87/2,502.33
  6. Step 6: Final answer
    x = 2,297.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.