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Finding the Fourth Proportional to 2,610.94, 3,916.48 and 762.01

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Solution

The fourth proportional to 2,610.94, 3,916.48 and 762.01 is: 1,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.94 : 3,916.48 = 762.01 : x
  2. Step 2: Convert to fraction form
    2,610.94/3,916.48 = 762.01/x
  3. Step 3: Cross multiply
    2,610.94x = 3,916.48 × 762.01
  4. Step 4: Simplify right side
    2,610.94x = 2,984,385.23
  5. Step 5: Solve for x
    x = 2,984,385.23/2,610.94
  6. Step 6: Final answer
    x = 1,143.03

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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.