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Finding the Fourth Proportional to 2,982.70, 4,115.48 and 1,803.75

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Solution

The fourth proportional to 2,982.70, 4,115.48 and 1,803.75 is: 2,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.70 : 4,115.48 = 1,803.75 : x
  2. Step 2: Convert to fraction form
    2,982.70/4,115.48 = 1,803.75/x
  3. Step 3: Cross multiply
    2,982.70x = 4,115.48 × 1,803.75
  4. Step 4: Simplify right side
    2,982.70x = 7,423,272.60
  5. Step 5: Solve for x
    x = 7,423,272.60/2,982.70
  6. Step 6: Final answer
    x = 2,488.78

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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.