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Finding the Fourth Proportional to 2,744.87, 4,117.80 and 1,284.03

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Solution

The fourth proportional to 2,744.87, 4,117.80 and 1,284.03 is: 1,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.87 : 4,117.80 = 1,284.03 : x
  2. Step 2: Convert to fraction form
    2,744.87/4,117.80 = 1,284.03/x
  3. Step 3: Cross multiply
    2,744.87x = 4,117.80 × 1,284.03
  4. Step 4: Simplify right side
    2,744.87x = 5,287,378.73
  5. Step 5: Solve for x
    x = 5,287,378.73/2,744.87
  6. Step 6: Final answer
    x = 1,926.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.