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Finding the Fourth Proportional to 2,338.41, 3,507.75 and 757.29

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Solution

The fourth proportional to 2,338.41, 3,507.75 and 757.29 is: 1,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.41 : 3,507.75 = 757.29 : x
  2. Step 2: Convert to fraction form
    2,338.41/3,507.75 = 757.29/x
  3. Step 3: Cross multiply
    2,338.41x = 3,507.75 × 757.29
  4. Step 4: Simplify right side
    2,338.41x = 2,656,384.00
  5. Step 5: Solve for x
    x = 2,656,384.00/2,338.41
  6. Step 6: Final answer
    x = 1,135.98

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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.