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Finding the Fourth Proportional to 1,385.96, 1,900.21 and 1,361.36

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Solution

The fourth proportional to 1,385.96, 1,900.21 and 1,361.36 is: 1,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.96 : 1,900.21 = 1,361.36 : x
  2. Step 2: Convert to fraction form
    1,385.96/1,900.21 = 1,361.36/x
  3. Step 3: Cross multiply
    1,385.96x = 1,900.21 × 1,361.36
  4. Step 4: Simplify right side
    1,385.96x = 2,586,869.89
  5. Step 5: Solve for x
    x = 2,586,869.89/1,385.96
  6. Step 6: Final answer
    x = 1,866.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.