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Finding the Fourth Proportional to 1,770.73, 2,443.42 and 984.71

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Solution

The fourth proportional to 1,770.73, 2,443.42 and 984.71 is: 1,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.73 : 2,443.42 = 984.71 : x
  2. Step 2: Convert to fraction form
    1,770.73/2,443.42 = 984.71/x
  3. Step 3: Cross multiply
    1,770.73x = 2,443.42 × 984.71
  4. Step 4: Simplify right side
    1,770.73x = 2,406,060.11
  5. Step 5: Solve for x
    x = 2,406,060.11/1,770.73
  6. Step 6: Final answer
    x = 1,358.80

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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.