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Finding the Fourth Proportional to 2,245.54, 3,098.34 and 1,361.32

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Solution

The fourth proportional to 2,245.54, 3,098.34 and 1,361.32 is: 1,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.54 : 3,098.34 = 1,361.32 : x
  2. Step 2: Convert to fraction form
    2,245.54/3,098.34 = 1,361.32/x
  3. Step 3: Cross multiply
    2,245.54x = 3,098.34 × 1,361.32
  4. Step 4: Simplify right side
    2,245.54x = 4,217,832.21
  5. Step 5: Solve for x
    x = 4,217,832.21/2,245.54
  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.