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Finding the Fourth Proportional to 1,613.26, 2,229.15 and 1,266.58

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Solution

The fourth proportional to 1,613.26, 2,229.15 and 1,266.58 is: 1,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.26 : 2,229.15 = 1,266.58 : x
  2. Step 2: Convert to fraction form
    1,613.26/2,229.15 = 1,266.58/x
  3. Step 3: Cross multiply
    1,613.26x = 2,229.15 × 1,266.58
  4. Step 4: Simplify right side
    1,613.26x = 2,823,396.81
  5. Step 5: Solve for x
    x = 2,823,396.81/1,613.26
  6. Step 6: Final answer
    x = 1,750.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.