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Finding the Fourth Proportional to 2,567.67, 3,851.98 and 813.11

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Solution

The fourth proportional to 2,567.67, 3,851.98 and 813.11 is: 1,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.67 : 3,851.98 = 813.11 : x
  2. Step 2: Convert to fraction form
    2,567.67/3,851.98 = 813.11/x
  3. Step 3: Cross multiply
    2,567.67x = 3,851.98 × 813.11
  4. Step 4: Simplify right side
    2,567.67x = 3,132,083.46
  5. Step 5: Solve for x
    x = 3,132,083.46/2,567.67
  6. Step 6: Final answer
    x = 1,219.82

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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.