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Finding the Fourth Proportional to 2,310.75, 3,466.13 and 771.75

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Solution

The fourth proportional to 2,310.75, 3,466.13 and 771.75 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.75 : 3,466.13 = 771.75 : x
  2. Step 2: Convert to fraction form
    2,310.75/3,466.13 = 771.75/x
  3. Step 3: Cross multiply
    2,310.75x = 3,466.13 × 771.75
  4. Step 4: Simplify right side
    2,310.75x = 2,674,981.97
  5. Step 5: Solve for x
    x = 2,674,981.97/2,310.75
  6. Step 6: Final answer
    x = 1,157.63

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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.