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Finding the Fourth Proportional to 2,964.84, 4,445.58 and 1,231.40

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Solution

The fourth proportional to 2,964.84, 4,445.58 and 1,231.40 is: 1,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.84 : 4,445.58 = 1,231.40 : x
  2. Step 2: Convert to fraction form
    2,964.84/4,445.58 = 1,231.40/x
  3. Step 3: Cross multiply
    2,964.84x = 4,445.58 × 1,231.40
  4. Step 4: Simplify right side
    2,964.84x = 5,474,287.21
  5. Step 5: Solve for x
    x = 5,474,287.21/2,964.84
  6. Step 6: Final answer
    x = 1,846.40

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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.