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Finding the Fourth Proportional to 1,939.92, 2,909.40 and 553.26

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Solution

The fourth proportional to 1,939.92, 2,909.40 and 553.26 is: 829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.92 : 2,909.40 = 553.26 : x
  2. Step 2: Convert to fraction form
    1,939.92/2,909.40 = 553.26/x
  3. Step 3: Cross multiply
    1,939.92x = 2,909.40 × 553.26
  4. Step 4: Simplify right side
    1,939.92x = 1,609,654.64
  5. Step 5: Solve for x
    x = 1,609,654.64/1,939.92
  6. Step 6: Final answer
    x = 829.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.