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Finding the Fourth Proportional to 2,245.66, 3,098.14 and 1,361.14

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Solution

The fourth proportional to 2,245.66, 3,098.14 and 1,361.14 is: 1,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.66 : 3,098.14 = 1,361.14 : x
  2. Step 2: Convert to fraction form
    2,245.66/3,098.14 = 1,361.14/x
  3. Step 3: Cross multiply
    2,245.66x = 3,098.14 × 1,361.14
  4. Step 4: Simplify right side
    2,245.66x = 4,216,991.13
  5. Step 5: Solve for x
    x = 4,216,991.13/2,245.66
  6. Step 6: Final answer
    x = 1,877.84

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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.