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Finding the Fourth Proportional to 3,498.90, 4,828.46 and 1,926.99

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Solution

The fourth proportional to 3,498.90, 4,828.46 and 1,926.99 is: 2,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.90 : 4,828.46 = 1,926.99 : x
  2. Step 2: Convert to fraction form
    3,498.90/4,828.46 = 1,926.99/x
  3. Step 3: Cross multiply
    3,498.90x = 4,828.46 × 1,926.99
  4. Step 4: Simplify right side
    3,498.90x = 9,304,394.14
  5. Step 5: Solve for x
    x = 9,304,394.14/3,498.90
  6. Step 6: Final answer
    x = 2,659.23

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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.