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Finding the Fourth Proportional to 2,508.36, 3,763.05 and 1,728.74

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Solution

The fourth proportional to 2,508.36, 3,763.05 and 1,728.74 is: 2,593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.36 : 3,763.05 = 1,728.74 : x
  2. Step 2: Convert to fraction form
    2,508.36/3,763.05 = 1,728.74/x
  3. Step 3: Cross multiply
    2,508.36x = 3,763.05 × 1,728.74
  4. Step 4: Simplify right side
    2,508.36x = 6,505,316.24
  5. Step 5: Solve for x
    x = 6,505,316.24/2,508.36
  6. Step 6: Final answer
    x = 2,593.45

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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.