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Finding the Fourth Proportional to 1,505.37, 2,076.37 and 1,381.44

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Solution

The fourth proportional to 1,505.37, 2,076.37 and 1,381.44 is: 1,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.37 : 2,076.37 = 1,381.44 : x
  2. Step 2: Convert to fraction form
    1,505.37/2,076.37 = 1,381.44/x
  3. Step 3: Cross multiply
    1,505.37x = 2,076.37 × 1,381.44
  4. Step 4: Simplify right side
    1,505.37x = 2,868,377.12
  5. Step 5: Solve for x
    x = 2,868,377.12/1,505.37
  6. Step 6: Final answer
    x = 1,905.43

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