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Finding the Fourth Proportional to 2,181.62, 3,254 and 1,853.30

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Solution

The fourth proportional to 2,181.62, 3,254 and 1,853.30 is: 2,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.62 : 3,254 = 1,853.30 : x
  2. Step 2: Convert to fraction form
    2,181.62/3,254 = 1,853.30/x
  3. Step 3: Cross multiply
    2,181.62x = 3,254 × 1,853.30
  4. Step 4: Simplify right side
    2,181.62x = 6,030,638.20
  5. Step 5: Solve for x
    x = 6,030,638.20/2,181.62
  6. Step 6: Final answer
    x = 2,764.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.