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Finding the Fourth Proportional to 2,383.03, 3,575.10 and 739.49

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Solution

The fourth proportional to 2,383.03, 3,575.10 and 739.49 is: 1,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.03 : 3,575.10 = 739.49 : x
  2. Step 2: Convert to fraction form
    2,383.03/3,575.10 = 739.49/x
  3. Step 3: Cross multiply
    2,383.03x = 3,575.10 × 739.49
  4. Step 4: Simplify right side
    2,383.03x = 2,643,750.70
  5. Step 5: Solve for x
    x = 2,643,750.70/2,383.03
  6. Step 6: Final answer
    x = 1,109.41

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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.