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Finding the Fourth Proportional to 1,910.64, 2,865.96 and 937.43

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Solution

The fourth proportional to 1,910.64, 2,865.96 and 937.43 is: 1,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.64 : 2,865.96 = 937.43 : x
  2. Step 2: Convert to fraction form
    1,910.64/2,865.96 = 937.43/x
  3. Step 3: Cross multiply
    1,910.64x = 2,865.96 × 937.43
  4. Step 4: Simplify right side
    1,910.64x = 2,686,622.55
  5. Step 5: Solve for x
    x = 2,686,622.55/1,910.64
  6. Step 6: Final answer
    x = 1,406.14

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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.