Home / 1,580.96-2,371.08-426.80

Finding the Fourth Proportional to 1,580.96, 2,371.08 and 426.80

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Solution

The fourth proportional to 1,580.96, 2,371.08 and 426.80 is: 640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.96 : 2,371.08 = 426.80 : x
  2. Step 2: Convert to fraction form
    1,580.96/2,371.08 = 426.80/x
  3. Step 3: Cross multiply
    1,580.96x = 2,371.08 × 426.80
  4. Step 4: Simplify right side
    1,580.96x = 1,011,976.94
  5. Step 5: Solve for x
    x = 1,011,976.94/1,580.96
  6. Step 6: Final answer
    x = 640.10

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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.