Home / 1,419.28-2,128.60-445.68

Finding the Fourth Proportional to 1,419.28, 2,128.60 and 445.68

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Solution

The fourth proportional to 1,419.28, 2,128.60 and 445.68 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.28 : 2,128.60 = 445.68 : x
  2. Step 2: Convert to fraction form
    1,419.28/2,128.60 = 445.68/x
  3. Step 3: Cross multiply
    1,419.28x = 2,128.60 × 445.68
  4. Step 4: Simplify right side
    1,419.28x = 948,674.45
  5. Step 5: Solve for x
    x = 948,674.45/1,419.28
  6. Step 6: Final answer
    x = 668.42

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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.