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Finding the Fourth Proportional to 3,234.65, 4,852.38 and 1,589.81

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Solution

The fourth proportional to 3,234.65, 4,852.38 and 1,589.81 is: 2,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.65 : 4,852.38 = 1,589.81 : x
  2. Step 2: Convert to fraction form
    3,234.65/4,852.38 = 1,589.81/x
  3. Step 3: Cross multiply
    3,234.65x = 4,852.38 × 1,589.81
  4. Step 4: Simplify right side
    3,234.65x = 7,714,362.25
  5. Step 5: Solve for x
    x = 7,714,362.25/3,234.65
  6. Step 6: Final answer
    x = 2,384.91

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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.