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Finding the Fourth Proportional to 1,438.83, 1,983.45 and 1,123.41

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Solution

The fourth proportional to 1,438.83, 1,983.45 and 1,123.41 is: 1,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.83 : 1,983.45 = 1,123.41 : x
  2. Step 2: Convert to fraction form
    1,438.83/1,983.45 = 1,123.41/x
  3. Step 3: Cross multiply
    1,438.83x = 1,983.45 × 1,123.41
  4. Step 4: Simplify right side
    1,438.83x = 2,228,227.56
  5. Step 5: Solve for x
    x = 2,228,227.56/1,438.83
  6. Step 6: Final answer
    x = 1,548.64

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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.