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Finding the Fourth Proportional to 2,812.67, 4,218.12 and 2,030.21

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Solution

The fourth proportional to 2,812.67, 4,218.12 and 2,030.21 is: 3,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.67 : 4,218.12 = 2,030.21 : x
  2. Step 2: Convert to fraction form
    2,812.67/4,218.12 = 2,030.21/x
  3. Step 3: Cross multiply
    2,812.67x = 4,218.12 × 2,030.21
  4. Step 4: Simplify right side
    2,812.67x = 8,563,648.31
  5. Step 5: Solve for x
    x = 8,563,648.31/2,812.67
  6. Step 6: Final answer
    x = 3,044.67

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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.