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Finding the Fourth Proportional to 2,181.14, 3,271.21 and 621.11

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Solution

The fourth proportional to 2,181.14, 3,271.21 and 621.11 is: 931.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.14 : 3,271.21 = 621.11 : x
  2. Step 2: Convert to fraction form
    2,181.14/3,271.21 = 621.11/x
  3. Step 3: Cross multiply
    2,181.14x = 3,271.21 × 621.11
  4. Step 4: Simplify right side
    2,181.14x = 2,031,781.24
  5. Step 5: Solve for x
    x = 2,031,781.24/2,181.14
  6. Step 6: Final answer
    x = 931.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.