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Finding the Fourth Proportional to 1,419.34, 2,129.01 and 445.52

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Solution

The fourth proportional to 1,419.34, 2,129.01 and 445.52 is: 668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.34 : 2,129.01 = 445.52 : x
  2. Step 2: Convert to fraction form
    1,419.34/2,129.01 = 445.52/x
  3. Step 3: Cross multiply
    1,419.34x = 2,129.01 × 445.52
  4. Step 4: Simplify right side
    1,419.34x = 948,516.54
  5. Step 5: Solve for x
    x = 948,516.54/1,419.34
  6. Step 6: Final answer
    x = 668.28

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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.