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Finding the Fourth Proportional to 2,610.54, 3,916.46 and 761.67

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Solution

The fourth proportional to 2,610.54, 3,916.46 and 761.67 is: 1,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.54 : 3,916.46 = 761.67 : x
  2. Step 2: Convert to fraction form
    2,610.54/3,916.46 = 761.67/x
  3. Step 3: Cross multiply
    2,610.54x = 3,916.46 × 761.67
  4. Step 4: Simplify right side
    2,610.54x = 2,983,046.28
  5. Step 5: Solve for x
    x = 2,983,046.28/2,610.54
  6. Step 6: Final answer
    x = 1,142.69

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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.