Home / 2,123.20-3,181.34-1,299.74

Finding the Fourth Proportional to 2,123.20, 3,181.34 and 1,299.74

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Solution

The fourth proportional to 2,123.20, 3,181.34 and 1,299.74 is: 1,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.20 : 3,181.34 = 1,299.74 : x
  2. Step 2: Convert to fraction form
    2,123.20/3,181.34 = 1,299.74/x
  3. Step 3: Cross multiply
    2,123.20x = 3,181.34 × 1,299.74
  4. Step 4: Simplify right side
    2,123.20x = 4,134,916.31
  5. Step 5: Solve for x
    x = 4,134,916.31/2,123.20
  6. Step 6: Final answer
    x = 1,947.49

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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.