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Finding the Fourth Proportional to 2,588.05, 3,878.96 and 943.70

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Solution

The fourth proportional to 2,588.05, 3,878.96 and 943.70 is: 1,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.05 : 3,878.96 = 943.70 : x
  2. Step 2: Convert to fraction form
    2,588.05/3,878.96 = 943.70/x
  3. Step 3: Cross multiply
    2,588.05x = 3,878.96 × 943.70
  4. Step 4: Simplify right side
    2,588.05x = 3,660,562.50
  5. Step 5: Solve for x
    x = 3,660,562.50/2,588.05
  6. Step 6: Final answer
    x = 1,414.41

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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.