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Finding the Fourth Proportional to 2,762.72, 4,144.37 and 914.17

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Solution

The fourth proportional to 2,762.72, 4,144.37 and 914.17 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.72 : 4,144.37 = 914.17 : x
  2. Step 2: Convert to fraction form
    2,762.72/4,144.37 = 914.17/x
  3. Step 3: Cross multiply
    2,762.72x = 4,144.37 × 914.17
  4. Step 4: Simplify right side
    2,762.72x = 3,788,654.15
  5. Step 5: Solve for x
    x = 3,788,654.15/2,762.72
  6. Step 6: Final answer
    x = 1,371.35

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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.