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Finding the Fourth Proportional to 2,610.83, 3,916.67 and 967.29

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Solution

The fourth proportional to 2,610.83, 3,916.67 and 967.29 is: 1,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.83 : 3,916.67 = 967.29 : x
  2. Step 2: Convert to fraction form
    2,610.83/3,916.67 = 967.29/x
  3. Step 3: Cross multiply
    2,610.83x = 3,916.67 × 967.29
  4. Step 4: Simplify right side
    2,610.83x = 3,788,550.89
  5. Step 5: Solve for x
    x = 3,788,550.89/2,610.83
  6. Step 6: Final answer
    x = 1,451.09

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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.