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Finding the Fourth Proportional to 2,457.36, 3,687.56 and 996.53

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Solution

The fourth proportional to 2,457.36, 3,687.56 and 996.53 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.36 : 3,687.56 = 996.53 : x
  2. Step 2: Convert to fraction form
    2,457.36/3,687.56 = 996.53/x
  3. Step 3: Cross multiply
    2,457.36x = 3,687.56 × 996.53
  4. Step 4: Simplify right side
    2,457.36x = 3,674,757.44
  5. Step 5: Solve for x
    x = 3,674,757.44/2,457.36
  6. Step 6: Final answer
    x = 1,495.41

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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.