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Finding the Fourth Proportional to 3,234.57, 4,851.77 and 1,384.76

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Solution

The fourth proportional to 3,234.57, 4,851.77 and 1,384.76 is: 2,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.57 : 4,851.77 = 1,384.76 : x
  2. Step 2: Convert to fraction form
    3,234.57/4,851.77 = 1,384.76/x
  3. Step 3: Cross multiply
    3,234.57x = 4,851.77 × 1,384.76
  4. Step 4: Simplify right side
    3,234.57x = 6,718,505.84
  5. Step 5: Solve for x
    x = 6,718,505.84/3,234.57
  6. Step 6: Final answer
    x = 2,077.09

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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.