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Finding the Fourth Proportional to 1,798.35, 2,481.69 and 1,012.40

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Solution

The fourth proportional to 1,798.35, 2,481.69 and 1,012.40 is: 1,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.35 : 2,481.69 = 1,012.40 : x
  2. Step 2: Convert to fraction form
    1,798.35/2,481.69 = 1,012.40/x
  3. Step 3: Cross multiply
    1,798.35x = 2,481.69 × 1,012.40
  4. Step 4: Simplify right side
    1,798.35x = 2,512,450.55
  5. Step 5: Solve for x
    x = 2,512,450.55/1,798.35
  6. Step 6: Final answer
    x = 1,397.09

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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.