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Finding the Fourth Proportional to 1,996.90, 2,749.06 and 1,498.72

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Solution

The fourth proportional to 1,996.90, 2,749.06 and 1,498.72 is: 2,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.90 : 2,749.06 = 1,498.72 : x
  2. Step 2: Convert to fraction form
    1,996.90/2,749.06 = 1,498.72/x
  3. Step 3: Cross multiply
    1,996.90x = 2,749.06 × 1,498.72
  4. Step 4: Simplify right side
    1,996.90x = 4,120,071.20
  5. Step 5: Solve for x
    x = 4,120,071.20/1,996.90
  6. Step 6: Final answer
    x = 2,063.23

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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.