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Finding the Fourth Proportional to 1,988.94, 2,982.38 and 755.40

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Solution

The fourth proportional to 1,988.94, 2,982.38 and 755.40 is: 1,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.94 : 2,982.38 = 755.40 : x
  2. Step 2: Convert to fraction form
    1,988.94/2,982.38 = 755.40/x
  3. Step 3: Cross multiply
    1,988.94x = 2,982.38 × 755.40
  4. Step 4: Simplify right side
    1,988.94x = 2,252,889.85
  5. Step 5: Solve for x
    x = 2,252,889.85/1,988.94
  6. Step 6: Final answer
    x = 1,132.71

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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.