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Finding the Fourth Proportional to 2,327.69, 3,489.69 and 846.68

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Solution

The fourth proportional to 2,327.69, 3,489.69 and 846.68 is: 1,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.69 : 3,489.69 = 846.68 : x
  2. Step 2: Convert to fraction form
    2,327.69/3,489.69 = 846.68/x
  3. Step 3: Cross multiply
    2,327.69x = 3,489.69 × 846.68
  4. Step 4: Simplify right side
    2,327.69x = 2,954,656.28
  5. Step 5: Solve for x
    x = 2,954,656.28/2,327.69
  6. Step 6: Final answer
    x = 1,269.35

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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.