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Finding the Fourth Proportional to 2,964.34, 4,444.08 and 1,234.18

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Solution

The fourth proportional to 2,964.34, 4,444.08 and 1,234.18 is: 1,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.34 : 4,444.08 = 1,234.18 : x
  2. Step 2: Convert to fraction form
    2,964.34/4,444.08 = 1,234.18/x
  3. Step 3: Cross multiply
    2,964.34x = 4,444.08 × 1,234.18
  4. Step 4: Simplify right side
    2,964.34x = 5,484,794.65
  5. Step 5: Solve for x
    x = 5,484,794.65/2,964.34
  6. Step 6: Final answer
    x = 1,850.26

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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.