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Finding the Fourth Proportional to 1,613.52, 2,418.48 and 997.68

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Solution

The fourth proportional to 1,613.52, 2,418.48 and 997.68 is: 1,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.52 : 2,418.48 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,613.52/2,418.48 = 997.68/x
  3. Step 3: Cross multiply
    1,613.52x = 2,418.48 × 997.68
  4. Step 4: Simplify right side
    1,613.52x = 2,412,869.13
  5. Step 5: Solve for x
    x = 2,412,869.13/1,613.52
  6. Step 6: Final answer
    x = 1,495.41

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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.