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Finding the Fourth Proportional to 2,305.68, 3,182.99 and 1,421.97

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Solution

The fourth proportional to 2,305.68, 3,182.99 and 1,421.97 is: 1,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.68 : 3,182.99 = 1,421.97 : x
  2. Step 2: Convert to fraction form
    2,305.68/3,182.99 = 1,421.97/x
  3. Step 3: Cross multiply
    2,305.68x = 3,182.99 × 1,421.97
  4. Step 4: Simplify right side
    2,305.68x = 4,526,109.18
  5. Step 5: Solve for x
    x = 4,526,109.18/2,305.68
  6. Step 6: Final answer
    x = 1,963.03

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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.