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Finding the Fourth Proportional to 1,613.34, 2,419.81 and 626.15

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Solution

The fourth proportional to 1,613.34, 2,419.81 and 626.15 is: 939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.34 : 2,419.81 = 626.15 : x
  2. Step 2: Convert to fraction form
    1,613.34/2,419.81 = 626.15/x
  3. Step 3: Cross multiply
    1,613.34x = 2,419.81 × 626.15
  4. Step 4: Simplify right side
    1,613.34x = 1,515,168.52
  5. Step 5: Solve for x
    x = 1,515,168.52/1,613.34
  6. Step 6: Final answer
    x = 939.15

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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.