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Finding the Fourth Proportional to 1,664.40, 2,294.73 and 1,364.54

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Solution

The fourth proportional to 1,664.40, 2,294.73 and 1,364.54 is: 1,881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.40 : 2,294.73 = 1,364.54 : x
  2. Step 2: Convert to fraction form
    1,664.40/2,294.73 = 1,364.54/x
  3. Step 3: Cross multiply
    1,664.40x = 2,294.73 × 1,364.54
  4. Step 4: Simplify right side
    1,664.40x = 3,131,250.87
  5. Step 5: Solve for x
    x = 3,131,250.87/1,664.40
  6. Step 6: Final answer
    x = 1,881.31

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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.