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Finding the Fourth Proportional to 2,982.51, 4,474.17 and 1,034.37

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Solution

The fourth proportional to 2,982.51, 4,474.17 and 1,034.37 is: 1,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.51 : 4,474.17 = 1,034.37 : x
  2. Step 2: Convert to fraction form
    2,982.51/4,474.17 = 1,034.37/x
  3. Step 3: Cross multiply
    2,982.51x = 4,474.17 × 1,034.37
  4. Step 4: Simplify right side
    2,982.51x = 4,627,947.22
  5. Step 5: Solve for x
    x = 4,627,947.22/2,982.51
  6. Step 6: Final answer
    x = 1,551.70

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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.