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Finding the Fourth Proportional to 2,181.42, 3,013.38 and 1,738.74

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Solution

The fourth proportional to 2,181.42, 3,013.38 and 1,738.74 is: 2,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.42 : 3,013.38 = 1,738.74 : x
  2. Step 2: Convert to fraction form
    2,181.42/3,013.38 = 1,738.74/x
  3. Step 3: Cross multiply
    2,181.42x = 3,013.38 × 1,738.74
  4. Step 4: Simplify right side
    2,181.42x = 5,239,484.34
  5. Step 5: Solve for x
    x = 5,239,484.34/2,181.42
  6. Step 6: Final answer
    x = 2,401.87

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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.