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Finding the Fourth Proportional to 2,333.76, 3,500.72 and 872.56

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Solution

The fourth proportional to 2,333.76, 3,500.72 and 872.56 is: 1,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.76 : 3,500.72 = 872.56 : x
  2. Step 2: Convert to fraction form
    2,333.76/3,500.72 = 872.56/x
  3. Step 3: Cross multiply
    2,333.76x = 3,500.72 × 872.56
  4. Step 4: Simplify right side
    2,333.76x = 3,054,588.24
  5. Step 5: Solve for x
    x = 3,054,588.24/2,333.76
  6. Step 6: Final answer
    x = 1,308.87

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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.