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Finding the Fourth Proportional to 1,767.68, 2,439.42 and 981.80

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Solution

The fourth proportional to 1,767.68, 2,439.42 and 981.80 is: 1,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.68 : 2,439.42 = 981.80 : x
  2. Step 2: Convert to fraction form
    1,767.68/2,439.42 = 981.80/x
  3. Step 3: Cross multiply
    1,767.68x = 2,439.42 × 981.80
  4. Step 4: Simplify right side
    1,767.68x = 2,395,022.56
  5. Step 5: Solve for x
    x = 2,395,022.56/1,767.68
  6. Step 6: Final answer
    x = 1,354.90

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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.