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Finding the Fourth Proportional to 1,743.66, 2,613.06 and 1,194.48

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Solution

The fourth proportional to 1,743.66, 2,613.06 and 1,194.48 is: 1,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.66 : 2,613.06 = 1,194.48 : x
  2. Step 2: Convert to fraction form
    1,743.66/2,613.06 = 1,194.48/x
  3. Step 3: Cross multiply
    1,743.66x = 2,613.06 × 1,194.48
  4. Step 4: Simplify right side
    1,743.66x = 3,121,247.91
  5. Step 5: Solve for x
    x = 3,121,247.91/1,743.66
  6. Step 6: Final answer
    x = 1,790.06

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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.