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Finding the Fourth Proportional to 1,727.64, 2,578.19 and 1,543.11

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Solution

The fourth proportional to 1,727.64, 2,578.19 and 1,543.11 is: 2,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.64 : 2,578.19 = 1,543.11 : x
  2. Step 2: Convert to fraction form
    1,727.64/2,578.19 = 1,543.11/x
  3. Step 3: Cross multiply
    1,727.64x = 2,578.19 × 1,543.11
  4. Step 4: Simplify right side
    1,727.64x = 3,978,430.77
  5. Step 5: Solve for x
    x = 3,978,430.77/1,727.64
  6. Step 6: Final answer
    x = 2,302.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.