Home / 1,420.68-2,131.06-446.70

Finding the Fourth Proportional to 1,420.68, 2,131.06 and 446.70

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Solution

The fourth proportional to 1,420.68, 2,131.06 and 446.70 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.68 : 2,131.06 = 446.70 : x
  2. Step 2: Convert to fraction form
    1,420.68/2,131.06 = 446.70/x
  3. Step 3: Cross multiply
    1,420.68x = 2,131.06 × 446.70
  4. Step 4: Simplify right side
    1,420.68x = 951,944.50
  5. Step 5: Solve for x
    x = 951,944.50/1,420.68
  6. Step 6: Final answer
    x = 670.06

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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.