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Finding the Fourth Proportional to 3,274.98, 4,519.53 and 1,782.94

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Solution

The fourth proportional to 3,274.98, 4,519.53 and 1,782.94 is: 2,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.98 : 4,519.53 = 1,782.94 : x
  2. Step 2: Convert to fraction form
    3,274.98/4,519.53 = 1,782.94/x
  3. Step 3: Cross multiply
    3,274.98x = 4,519.53 × 1,782.94
  4. Step 4: Simplify right side
    3,274.98x = 8,058,050.82
  5. Step 5: Solve for x
    x = 8,058,050.82/3,274.98
  6. Step 6: Final answer
    x = 2,460.49

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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.