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Finding the Fourth Proportional to 3,234.90, 4,852.51 and 1,384.16

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Solution

The fourth proportional to 3,234.90, 4,852.51 and 1,384.16 is: 2,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.90 : 4,852.51 = 1,384.16 : x
  2. Step 2: Convert to fraction form
    3,234.90/4,852.51 = 1,384.16/x
  3. Step 3: Cross multiply
    3,234.90x = 4,852.51 × 1,384.16
  4. Step 4: Simplify right side
    3,234.90x = 6,716,622.52
  5. Step 5: Solve for x
    x = 6,716,622.52/3,234.90
  6. Step 6: Final answer
    x = 2,076.30

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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.