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Finding the Fourth Proportional to 2,610.83, 3,916.62 and 762.11

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Solution

The fourth proportional to 2,610.83, 3,916.62 and 762.11 is: 1,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.83 : 3,916.62 = 762.11 : x
  2. Step 2: Convert to fraction form
    2,610.83/3,916.62 = 762.11/x
  3. Step 3: Cross multiply
    2,610.83x = 3,916.62 × 762.11
  4. Step 4: Simplify right side
    2,610.83x = 2,984,890.37
  5. Step 5: Solve for x
    x = 2,984,890.37/2,610.83
  6. Step 6: Final answer
    x = 1,143.27

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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.