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Finding the Fourth Proportional to 2,181.42, 3,254.22 and 2,024.28

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Solution

The fourth proportional to 2,181.42, 3,254.22 and 2,024.28 is: 3,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.42 : 3,254.22 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    2,181.42/3,254.22 = 2,024.28/x
  3. Step 3: Cross multiply
    2,181.42x = 3,254.22 × 2,024.28
  4. Step 4: Simplify right side
    2,181.42x = 6,587,452.46
  5. Step 5: Solve for x
    x = 6,587,452.46/2,181.42
  6. Step 6: Final answer
    x = 3,019.80

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