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Finding the Fourth Proportional to 2,762.27, 4,143.53 and 1,663.25

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Solution

The fourth proportional to 2,762.27, 4,143.53 and 1,663.25 is: 2,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.27 : 4,143.53 = 1,663.25 : x
  2. Step 2: Convert to fraction form
    2,762.27/4,143.53 = 1,663.25/x
  3. Step 3: Cross multiply
    2,762.27x = 4,143.53 × 1,663.25
  4. Step 4: Simplify right side
    2,762.27x = 6,891,717.96
  5. Step 5: Solve for x
    x = 6,891,717.96/2,762.27
  6. Step 6: Final answer
    x = 2,494.95

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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.