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Finding the Fourth Proportional to 2,744.68, 4,097.74 and 2,486.40

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Solution

The fourth proportional to 2,744.68, 4,097.74 and 2,486.40 is: 3,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.68 : 4,097.74 = 2,486.40 : x
  2. Step 2: Convert to fraction form
    2,744.68/4,097.74 = 2,486.40/x
  3. Step 3: Cross multiply
    2,744.68x = 4,097.74 × 2,486.40
  4. Step 4: Simplify right side
    2,744.68x = 10,188,620.74
  5. Step 5: Solve for x
    x = 10,188,620.74/2,744.68
  6. Step 6: Final answer
    x = 3,712.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.