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Finding the Fourth Proportional to 2,395.44, 3,592.62 and 664.20

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Solution

The fourth proportional to 2,395.44, 3,592.62 and 664.20 is: 996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.44 : 3,592.62 = 664.20 : x
  2. Step 2: Convert to fraction form
    2,395.44/3,592.62 = 664.20/x
  3. Step 3: Cross multiply
    2,395.44x = 3,592.62 × 664.20
  4. Step 4: Simplify right side
    2,395.44x = 2,386,218.20
  5. Step 5: Solve for x
    x = 2,386,218.20/2,395.44
  6. Step 6: Final answer
    x = 996.15

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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.