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Finding the Fourth Proportional to 3,274.40, 4,518.52 and 1,782.23

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Solution

The fourth proportional to 3,274.40, 4,518.52 and 1,782.23 is: 2,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.40 : 4,518.52 = 1,782.23 : x
  2. Step 2: Convert to fraction form
    3,274.40/4,518.52 = 1,782.23/x
  3. Step 3: Cross multiply
    3,274.40x = 4,518.52 × 1,782.23
  4. Step 4: Simplify right side
    3,274.40x = 8,053,040.27
  5. Step 5: Solve for x
    x = 8,053,040.27/3,274.40
  6. Step 6: Final answer
    x = 2,459.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.