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Finding the Fourth Proportional to 1,613.99, 2,224.37 and 1,259.73

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Solution

The fourth proportional to 1,613.99, 2,224.37 and 1,259.73 is: 1,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.99 : 2,224.37 = 1,259.73 : x
  2. Step 2: Convert to fraction form
    1,613.99/2,224.37 = 1,259.73/x
  3. Step 3: Cross multiply
    1,613.99x = 2,224.37 × 1,259.73
  4. Step 4: Simplify right side
    1,613.99x = 2,802,108.77
  5. Step 5: Solve for x
    x = 2,802,108.77/1,613.99
  6. Step 6: Final answer
    x = 1,736.13

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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.