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Finding the Fourth Proportional to 1,812.67, 2,719.02 and 514.14

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Solution

The fourth proportional to 1,812.67, 2,719.02 and 514.14 is: 771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.67 : 2,719.02 = 514.14 : x
  2. Step 2: Convert to fraction form
    1,812.67/2,719.02 = 514.14/x
  3. Step 3: Cross multiply
    1,812.67x = 2,719.02 × 514.14
  4. Step 4: Simplify right side
    1,812.67x = 1,397,948.67
  5. Step 5: Solve for x
    x = 1,397,948.67/1,812.67
  6. Step 6: Final answer
    x = 771.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.