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Finding the Fourth Proportional to 2,395.48, 3,591.30 and 1,663

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Solution

The fourth proportional to 2,395.48, 3,591.30 and 1,663 is: 2,493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.48 : 3,591.30 = 1,663 : x
  2. Step 2: Convert to fraction form
    2,395.48/3,591.30 = 1,663/x
  3. Step 3: Cross multiply
    2,395.48x = 3,591.30 × 1,663
  4. Step 4: Simplify right side
    2,395.48x = 5,972,331.90
  5. Step 5: Solve for x
    x = 5,972,331.90/2,395.48
  6. Step 6: Final answer
    x = 2,493.17

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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.