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Finding the Fourth Proportional to 1,812.75, 2,719.13 and 514.22

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Solution

The fourth proportional to 1,812.75, 2,719.13 and 514.22 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.75 : 2,719.13 = 514.22 : x
  2. Step 2: Convert to fraction form
    1,812.75/2,719.13 = 514.22/x
  3. Step 3: Cross multiply
    1,812.75x = 2,719.13 × 514.22
  4. Step 4: Simplify right side
    1,812.75x = 1,398,214.86
  5. Step 5: Solve for x
    x = 1,398,214.86/1,812.75
  6. Step 6: Final answer
    x = 771.32

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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.