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Finding the Fourth Proportional to 2,467.63, 3,696.56 and 1,295.87

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Solution

The fourth proportional to 2,467.63, 3,696.56 and 1,295.87 is: 1,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.63 : 3,696.56 = 1,295.87 : x
  2. Step 2: Convert to fraction form
    2,467.63/3,696.56 = 1,295.87/x
  3. Step 3: Cross multiply
    2,467.63x = 3,696.56 × 1,295.87
  4. Step 4: Simplify right side
    2,467.63x = 4,790,254.73
  5. Step 5: Solve for x
    x = 4,790,254.73/2,467.63
  6. Step 6: Final answer
    x = 1,941.24

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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.