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Finding the Fourth Proportional to 2,523.51, 3,785.84 and 768.67

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Solution

The fourth proportional to 2,523.51, 3,785.84 and 768.67 is: 1,153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.51 : 3,785.84 = 768.67 : x
  2. Step 2: Convert to fraction form
    2,523.51/3,785.84 = 768.67/x
  3. Step 3: Cross multiply
    2,523.51x = 3,785.84 × 768.67
  4. Step 4: Simplify right side
    2,523.51x = 2,910,065.40
  5. Step 5: Solve for x
    x = 2,910,065.40/2,523.51
  6. Step 6: Final answer
    x = 1,153.18

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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.