Home / 1,412.40-2,119.20-681.60

Finding the Fourth Proportional to 1,412.40, 2,119.20 and 681.60

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Solution

The fourth proportional to 1,412.40, 2,119.20 and 681.60 is: 1,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.40 : 2,119.20 = 681.60 : x
  2. Step 2: Convert to fraction form
    1,412.40/2,119.20 = 681.60/x
  3. Step 3: Cross multiply
    1,412.40x = 2,119.20 × 681.60
  4. Step 4: Simplify right side
    1,412.40x = 1,444,446.72
  5. Step 5: Solve for x
    x = 1,444,446.72/1,412.40
  6. Step 6: Final answer
    x = 1,022.69

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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.