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Finding the Fourth Proportional to 1,847.28, 2,770.10 and 981.40

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Solution

The fourth proportional to 1,847.28, 2,770.10 and 981.40 is: 1,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.28 : 2,770.10 = 981.40 : x
  2. Step 2: Convert to fraction form
    1,847.28/2,770.10 = 981.40/x
  3. Step 3: Cross multiply
    1,847.28x = 2,770.10 × 981.40
  4. Step 4: Simplify right side
    1,847.28x = 2,718,576.14
  5. Step 5: Solve for x
    x = 2,718,576.14/1,847.28
  6. Step 6: Final answer
    x = 1,471.66

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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.