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Finding the Fourth Proportional to 3,249.34, 4,484.19 and 1,852

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Solution

The fourth proportional to 3,249.34, 4,484.19 and 1,852 is: 2,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.34 : 4,484.19 = 1,852 : x
  2. Step 2: Convert to fraction form
    3,249.34/4,484.19 = 1,852/x
  3. Step 3: Cross multiply
    3,249.34x = 4,484.19 × 1,852
  4. Step 4: Simplify right side
    3,249.34x = 8,304,719.88
  5. Step 5: Solve for x
    x = 8,304,719.88/3,249.34
  6. Step 6: Final answer
    x = 2,555.82

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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.