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Finding the Fourth Proportional to 2,335.70, 3,500.44 and 873.38

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Solution

The fourth proportional to 2,335.70, 3,500.44 and 873.38 is: 1,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.70 : 3,500.44 = 873.38 : x
  2. Step 2: Convert to fraction form
    2,335.70/3,500.44 = 873.38/x
  3. Step 3: Cross multiply
    2,335.70x = 3,500.44 × 873.38
  4. Step 4: Simplify right side
    2,335.70x = 3,057,214.29
  5. Step 5: Solve for x
    x = 3,057,214.29/2,335.70
  6. Step 6: Final answer
    x = 1,308.91

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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.