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Finding the Fourth Proportional to 2,443.16, 3,664.73 and 594.29

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Solution

The fourth proportional to 2,443.16, 3,664.73 and 594.29 is: 891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.16 : 3,664.73 = 594.29 : x
  2. Step 2: Convert to fraction form
    2,443.16/3,664.73 = 594.29/x
  3. Step 3: Cross multiply
    2,443.16x = 3,664.73 × 594.29
  4. Step 4: Simplify right side
    2,443.16x = 2,177,912.39
  5. Step 5: Solve for x
    x = 2,177,912.39/2,443.16
  6. Step 6: Final answer
    x = 891.43

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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.