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Finding the Fourth Proportional to 2,762.96, 4,144.34 and 914.03

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Solution

The fourth proportional to 2,762.96, 4,144.34 and 914.03 is: 1,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.96 : 4,144.34 = 914.03 : x
  2. Step 2: Convert to fraction form
    2,762.96/4,144.34 = 914.03/x
  3. Step 3: Cross multiply
    2,762.96x = 4,144.34 × 914.03
  4. Step 4: Simplify right side
    2,762.96x = 3,788,025.80
  5. Step 5: Solve for x
    x = 3,788,025.80/2,762.96
  6. Step 6: Final answer
    x = 1,371.01

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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.