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Finding the Fourth Proportional to 2,512.29, 3,770.87 and 1,214.67

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Solution

The fourth proportional to 2,512.29, 3,770.87 and 1,214.67 is: 1,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.29 : 3,770.87 = 1,214.67 : x
  2. Step 2: Convert to fraction form
    2,512.29/3,770.87 = 1,214.67/x
  3. Step 3: Cross multiply
    2,512.29x = 3,770.87 × 1,214.67
  4. Step 4: Simplify right side
    2,512.29x = 4,580,356.59
  5. Step 5: Solve for x
    x = 4,580,356.59/2,512.29
  6. Step 6: Final answer
    x = 1,823.18

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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.