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Finding the Fourth Proportional to 1,613.81, 2,419.17 and 688.09

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Solution

The fourth proportional to 1,613.81, 2,419.17 and 688.09 is: 1,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.81 : 2,419.17 = 688.09 : x
  2. Step 2: Convert to fraction form
    1,613.81/2,419.17 = 688.09/x
  3. Step 3: Cross multiply
    1,613.81x = 2,419.17 × 688.09
  4. Step 4: Simplify right side
    1,613.81x = 1,664,606.69
  5. Step 5: Solve for x
    x = 1,664,606.69/1,613.81
  6. Step 6: Final answer
    x = 1,031.48

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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.