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Finding the Fourth Proportional to 1,438.40, 1,983.94 and 940.24

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Solution

The fourth proportional to 1,438.40, 1,983.94 and 940.24 is: 1,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.40 : 1,983.94 = 940.24 : x
  2. Step 2: Convert to fraction form
    1,438.40/1,983.94 = 940.24/x
  3. Step 3: Cross multiply
    1,438.40x = 1,983.94 × 940.24
  4. Step 4: Simplify right side
    1,438.40x = 1,865,379.75
  5. Step 5: Solve for x
    x = 1,865,379.75/1,438.40
  6. Step 6: Final answer
    x = 1,296.84

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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.