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Finding the Fourth Proportional to 1,419.28, 2,128.91 and 445.46

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Solution

The fourth proportional to 1,419.28, 2,128.91 and 445.46 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.28 : 2,128.91 = 445.46 : x
  2. Step 2: Convert to fraction form
    1,419.28/2,128.91 = 445.46/x
  3. Step 3: Cross multiply
    1,419.28x = 2,128.91 × 445.46
  4. Step 4: Simplify right side
    1,419.28x = 948,334.72
  5. Step 5: Solve for x
    x = 948,334.72/1,419.28
  6. Step 6: Final answer
    x = 668.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.