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Finding the Fourth Proportional to 2,457.72, 3,685.42 and 896.64

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Solution

The fourth proportional to 2,457.72, 3,685.42 and 896.64 is: 1,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.72 : 3,685.42 = 896.64 : x
  2. Step 2: Convert to fraction form
    2,457.72/3,685.42 = 896.64/x
  3. Step 3: Cross multiply
    2,457.72x = 3,685.42 × 896.64
  4. Step 4: Simplify right side
    2,457.72x = 3,304,494.99
  5. Step 5: Solve for x
    x = 3,304,494.99/2,457.72
  6. Step 6: Final answer
    x = 1,344.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.