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Finding the Fourth Proportional to 1,770.91, 2,443.85 and 984.94

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Solution

The fourth proportional to 1,770.91, 2,443.85 and 984.94 is: 1,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.91 : 2,443.85 = 984.94 : x
  2. Step 2: Convert to fraction form
    1,770.91/2,443.85 = 984.94/x
  3. Step 3: Cross multiply
    1,770.91x = 2,443.85 × 984.94
  4. Step 4: Simplify right side
    1,770.91x = 2,407,043.82
  5. Step 5: Solve for x
    x = 2,407,043.82/1,770.91
  6. Step 6: Final answer
    x = 1,359.21

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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.