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Finding the Fourth Proportional to 2,309.87, 3,465.43 and 829.25

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Solution

The fourth proportional to 2,309.87, 3,465.43 and 829.25 is: 1,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.87 : 3,465.43 = 829.25 : x
  2. Step 2: Convert to fraction form
    2,309.87/3,465.43 = 829.25/x
  3. Step 3: Cross multiply
    2,309.87x = 3,465.43 × 829.25
  4. Step 4: Simplify right side
    2,309.87x = 2,873,688.43
  5. Step 5: Solve for x
    x = 2,873,688.43/2,309.87
  6. Step 6: Final answer
    x = 1,244.09

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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.