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Finding the Fourth Proportional to 2,355.96, 3,250.80 and 1,361.28

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Solution

The fourth proportional to 2,355.96, 3,250.80 and 1,361.28 is: 1,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.96 : 3,250.80 = 1,361.28 : x
  2. Step 2: Convert to fraction form
    2,355.96/3,250.80 = 1,361.28/x
  3. Step 3: Cross multiply
    2,355.96x = 3,250.80 × 1,361.28
  4. Step 4: Simplify right side
    2,355.96x = 4,425,249.02
  5. Step 5: Solve for x
    x = 4,425,249.02/2,355.96
  6. Step 6: Final answer
    x = 1,878.32

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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.