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Finding the Fourth Proportional to 2,457.29, 3,685.02 and 896.78

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Solution

The fourth proportional to 2,457.29, 3,685.02 and 896.78 is: 1,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.29 : 3,685.02 = 896.78 : x
  2. Step 2: Convert to fraction form
    2,457.29/3,685.02 = 896.78/x
  3. Step 3: Cross multiply
    2,457.29x = 3,685.02 × 896.78
  4. Step 4: Simplify right side
    2,457.29x = 3,304,633.81
  5. Step 5: Solve for x
    x = 3,304,633.81/2,457.29
  6. Step 6: Final answer
    x = 1,344.83

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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.