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Finding the Fourth Proportional to 1,876.70, 2,589.83 and 1,037.39

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Solution

The fourth proportional to 1,876.70, 2,589.83 and 1,037.39 is: 1,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.70 : 2,589.83 = 1,037.39 : x
  2. Step 2: Convert to fraction form
    1,876.70/2,589.83 = 1,037.39/x
  3. Step 3: Cross multiply
    1,876.70x = 2,589.83 × 1,037.39
  4. Step 4: Simplify right side
    1,876.70x = 2,686,665.03
  5. Step 5: Solve for x
    x = 2,686,665.03/1,876.70
  6. Step 6: Final answer
    x = 1,431.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.