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Finding the Fourth Proportional to 1,812.85, 2,719.31 and 514.35

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Solution

The fourth proportional to 1,812.85, 2,719.31 and 514.35 is: 771.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.85 : 2,719.31 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,812.85/2,719.31 = 514.35/x
  3. Step 3: Cross multiply
    1,812.85x = 2,719.31 × 514.35
  4. Step 4: Simplify right side
    1,812.85x = 1,398,674.53
  5. Step 5: Solve for x
    x = 1,398,674.53/1,812.85
  6. Step 6: Final answer
    x = 771.53

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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.