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Finding the Fourth Proportional to 3,180.54, 4,389.36 and 1,764.39

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Solution

The fourth proportional to 3,180.54, 4,389.36 and 1,764.39 is: 2,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.54 : 4,389.36 = 1,764.39 : x
  2. Step 2: Convert to fraction form
    3,180.54/4,389.36 = 1,764.39/x
  3. Step 3: Cross multiply
    3,180.54x = 4,389.36 × 1,764.39
  4. Step 4: Simplify right side
    3,180.54x = 7,744,542.89
  5. Step 5: Solve for x
    x = 7,744,542.89/3,180.54
  6. Step 6: Final answer
    x = 2,434.98

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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.