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Finding the Fourth Proportional to 1,741.46, 2,613.14 and 1,727.33

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Solution

The fourth proportional to 1,741.46, 2,613.14 and 1,727.33 is: 2,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.46 : 2,613.14 = 1,727.33 : x
  2. Step 2: Convert to fraction form
    1,741.46/2,613.14 = 1,727.33/x
  3. Step 3: Cross multiply
    1,741.46x = 2,613.14 × 1,727.33
  4. Step 4: Simplify right side
    1,741.46x = 4,513,733.41
  5. Step 5: Solve for x
    x = 4,513,733.41/1,741.46
  6. Step 6: Final answer
    x = 2,591.93

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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.