Home / 1,581.34-2,372.01-427.06

Finding the Fourth Proportional to 1,581.34, 2,372.01 and 427.06

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Solution

The fourth proportional to 1,581.34, 2,372.01 and 427.06 is: 640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.34 : 2,372.01 = 427.06 : x
  2. Step 2: Convert to fraction form
    1,581.34/2,372.01 = 427.06/x
  3. Step 3: Cross multiply
    1,581.34x = 2,372.01 × 427.06
  4. Step 4: Simplify right side
    1,581.34x = 1,012,990.59
  5. Step 5: Solve for x
    x = 1,012,990.59/1,581.34
  6. Step 6: Final answer
    x = 640.59

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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.