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Finding the Fourth Proportional to 2,074.41, 3,111.62 and 514.42

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Solution

The fourth proportional to 2,074.41, 3,111.62 and 514.42 is: 771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.41 : 3,111.62 = 514.42 : x
  2. Step 2: Convert to fraction form
    2,074.41/3,111.62 = 514.42/x
  3. Step 3: Cross multiply
    2,074.41x = 3,111.62 × 514.42
  4. Step 4: Simplify right side
    2,074.41x = 1,600,669.21
  5. Step 5: Solve for x
    x = 1,600,669.21/2,074.41
  6. Step 6: Final answer
    x = 771.63

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