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Finding the Fourth Proportional to 3,274.74, 4,518.99 and 1,782.54

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Solution

The fourth proportional to 3,274.74, 4,518.99 and 1,782.54 is: 2,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.74 : 4,518.99 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    3,274.74/4,518.99 = 1,782.54/x
  3. Step 3: Cross multiply
    3,274.74x = 4,518.99 × 1,782.54
  4. Step 4: Simplify right side
    3,274.74x = 8,055,280.43
  5. Step 5: Solve for x
    x = 8,055,280.43/3,274.74
  6. Step 6: Final answer
    x = 2,459.82

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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.