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Finding the Fourth Proportional to 2,338.09, 3,507.23 and 950.69

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Solution

The fourth proportional to 2,338.09, 3,507.23 and 950.69 is: 1,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.09 : 3,507.23 = 950.69 : x
  2. Step 2: Convert to fraction form
    2,338.09/3,507.23 = 950.69/x
  3. Step 3: Cross multiply
    2,338.09x = 3,507.23 × 950.69
  4. Step 4: Simplify right side
    2,338.09x = 3,334,299.63
  5. Step 5: Solve for x
    x = 3,334,299.63/2,338.09
  6. Step 6: Final answer
    x = 1,426.08

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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.