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Finding the Fourth Proportional to 2,443.31, 3,664.91 and 594.43

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Solution

The fourth proportional to 2,443.31, 3,664.91 and 594.43 is: 891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.31 : 3,664.91 = 594.43 : x
  2. Step 2: Convert to fraction form
    2,443.31/3,664.91 = 594.43/x
  3. Step 3: Cross multiply
    2,443.31x = 3,664.91 × 594.43
  4. Step 4: Simplify right side
    2,443.31x = 2,178,532.57
  5. Step 5: Solve for x
    x = 2,178,532.57/2,443.31
  6. Step 6: Final answer
    x = 891.63

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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.