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Finding the Fourth Proportional to 1,996.39, 2,752.16 and 1,405.09

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Solution

The fourth proportional to 1,996.39, 2,752.16 and 1,405.09 is: 1,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.39 : 2,752.16 = 1,405.09 : x
  2. Step 2: Convert to fraction form
    1,996.39/2,752.16 = 1,405.09/x
  3. Step 3: Cross multiply
    1,996.39x = 2,752.16 × 1,405.09
  4. Step 4: Simplify right side
    1,996.39x = 3,867,032.49
  5. Step 5: Solve for x
    x = 3,867,032.49/1,996.39
  6. Step 6: Final answer
    x = 1,937.01

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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.