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Finding the Fourth Proportional to 1,772.40, 2,446 and 986.44

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Solution

The fourth proportional to 1,772.40, 2,446 and 986.44 is: 1,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.40 : 2,446 = 986.44 : x
  2. Step 2: Convert to fraction form
    1,772.40/2,446 = 986.44/x
  3. Step 3: Cross multiply
    1,772.40x = 2,446 × 986.44
  4. Step 4: Simplify right side
    1,772.40x = 2,412,832.24
  5. Step 5: Solve for x
    x = 2,412,832.24/1,772.40
  6. Step 6: Final answer
    x = 1,361.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.