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Finding the Fourth Proportional to 2,457.69, 3,686.50 and 996.49

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Solution

The fourth proportional to 2,457.69, 3,686.50 and 996.49 is: 1,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.69 : 3,686.50 = 996.49 : x
  2. Step 2: Convert to fraction form
    2,457.69/3,686.50 = 996.49/x
  3. Step 3: Cross multiply
    2,457.69x = 3,686.50 × 996.49
  4. Step 4: Simplify right side
    2,457.69x = 3,673,560.39
  5. Step 5: Solve for x
    x = 3,673,560.39/2,457.69
  6. Step 6: Final answer
    x = 1,494.72

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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.