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Finding the Fourth Proportional to 3,419.06, 4,718.23 and 1,926.97

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Solution

The fourth proportional to 3,419.06, 4,718.23 and 1,926.97 is: 2,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.06 : 4,718.23 = 1,926.97 : x
  2. Step 2: Convert to fraction form
    3,419.06/4,718.23 = 1,926.97/x
  3. Step 3: Cross multiply
    3,419.06x = 4,718.23 × 1,926.97
  4. Step 4: Simplify right side
    3,419.06x = 9,091,871.05
  5. Step 5: Solve for x
    x = 9,091,871.05/3,419.06
  6. Step 6: Final answer
    x = 2,659.18

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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.