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Finding the Fourth Proportional to 1,419.22, 2,124.27 and 759.45

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Solution

The fourth proportional to 1,419.22, 2,124.27 and 759.45 is: 1,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.22 : 2,124.27 = 759.45 : x
  2. Step 2: Convert to fraction form
    1,419.22/2,124.27 = 759.45/x
  3. Step 3: Cross multiply
    1,419.22x = 2,124.27 × 759.45
  4. Step 4: Simplify right side
    1,419.22x = 1,613,262.43
  5. Step 5: Solve for x
    x = 1,613,262.43/1,419.22
  6. Step 6: Final answer
    x = 1,136.72

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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.