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Finding the Fourth Proportional to 1,801.96, 2,486.72 and 1,016

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Solution

The fourth proportional to 1,801.96, 2,486.72 and 1,016 is: 1,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.96 : 2,486.72 = 1,016 : x
  2. Step 2: Convert to fraction form
    1,801.96/2,486.72 = 1,016/x
  3. Step 3: Cross multiply
    1,801.96x = 2,486.72 × 1,016
  4. Step 4: Simplify right side
    1,801.96x = 2,526,507.52
  5. Step 5: Solve for x
    x = 2,526,507.52/1,801.96
  6. Step 6: Final answer
    x = 1,402.09

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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.