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Finding the Fourth Proportional to 2,498.25, 3,447.59 and 1,394.25

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Solution

The fourth proportional to 2,498.25, 3,447.59 and 1,394.25 is: 1,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.25 : 3,447.59 = 1,394.25 : x
  2. Step 2: Convert to fraction form
    2,498.25/3,447.59 = 1,394.25/x
  3. Step 3: Cross multiply
    2,498.25x = 3,447.59 × 1,394.25
  4. Step 4: Simplify right side
    2,498.25x = 4,806,802.36
  5. Step 5: Solve for x
    x = 4,806,802.36/2,498.25
  6. Step 6: Final answer
    x = 1,924.07

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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.