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Finding the Fourth Proportional to 2,462.81, 3,696.47 and 1,293.61

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Solution

The fourth proportional to 2,462.81, 3,696.47 and 1,293.61 is: 1,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.81 : 3,696.47 = 1,293.61 : x
  2. Step 2: Convert to fraction form
    2,462.81/3,696.47 = 1,293.61/x
  3. Step 3: Cross multiply
    2,462.81x = 3,696.47 × 1,293.61
  4. Step 4: Simplify right side
    2,462.81x = 4,781,790.56
  5. Step 5: Solve for x
    x = 4,781,790.56/2,462.81
  6. Step 6: Final answer
    x = 1,941.60

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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.