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Finding the Fourth Proportional to 3,274.51, 4,518.91 and 1,782.49

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Solution

The fourth proportional to 3,274.51, 4,518.91 and 1,782.49 is: 2,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.51 : 4,518.91 = 1,782.49 : x
  2. Step 2: Convert to fraction form
    3,274.51/4,518.91 = 1,782.49/x
  3. Step 3: Cross multiply
    3,274.51x = 4,518.91 × 1,782.49
  4. Step 4: Simplify right side
    3,274.51x = 8,054,896.13
  5. Step 5: Solve for x
    x = 8,054,896.13/3,274.51
  6. Step 6: Final answer
    x = 2,459.88

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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.