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Finding the Fourth Proportional to 1,996.03, 2,748 and 1,663.93

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Solution

The fourth proportional to 1,996.03, 2,748 and 1,663.93 is: 2,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.03 : 2,748 = 1,663.93 : x
  2. Step 2: Convert to fraction form
    1,996.03/2,748 = 1,663.93/x
  3. Step 3: Cross multiply
    1,996.03x = 2,748 × 1,663.93
  4. Step 4: Simplify right side
    1,996.03x = 4,572,479.64
  5. Step 5: Solve for x
    x = 4,572,479.64/1,996.03
  6. Step 6: Final answer
    x = 2,290.79

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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.