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Finding the Fourth Proportional to 2,333.67, 3,501.20 and 872.49

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Solution

The fourth proportional to 2,333.67, 3,501.20 and 872.49 is: 1,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.67 : 3,501.20 = 872.49 : x
  2. Step 2: Convert to fraction form
    2,333.67/3,501.20 = 872.49/x
  3. Step 3: Cross multiply
    2,333.67x = 3,501.20 × 872.49
  4. Step 4: Simplify right side
    2,333.67x = 3,054,757.63
  5. Step 5: Solve for x
    x = 3,054,757.63/2,333.67
  6. Step 6: Final answer
    x = 1,308.99

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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.