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Finding the Fourth Proportional to 1,939.45, 2,909.63 and 552.81

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Solution

The fourth proportional to 1,939.45, 2,909.63 and 552.81 is: 829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.45 : 2,909.63 = 552.81 : x
  2. Step 2: Convert to fraction form
    1,939.45/2,909.63 = 552.81/x
  3. Step 3: Cross multiply
    1,939.45x = 2,909.63 × 552.81
  4. Step 4: Simplify right side
    1,939.45x = 1,608,455.25
  5. Step 5: Solve for x
    x = 1,608,455.25/1,939.45
  6. Step 6: Final answer
    x = 829.34

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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.