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Finding the Fourth Proportional to 1,393.72, 1,922.89 and 995.05

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Solution

The fourth proportional to 1,393.72, 1,922.89 and 995.05 is: 1,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.72 : 1,922.89 = 995.05 : x
  2. Step 2: Convert to fraction form
    1,393.72/1,922.89 = 995.05/x
  3. Step 3: Cross multiply
    1,393.72x = 1,922.89 × 995.05
  4. Step 4: Simplify right side
    1,393.72x = 1,913,371.69
  5. Step 5: Solve for x
    x = 1,913,371.69/1,393.72
  6. Step 6: Final answer
    x = 1,372.85

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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.