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Finding the Fourth Proportional to 2,465.70, 3,696.60 and 1,232.47

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Solution

The fourth proportional to 2,465.70, 3,696.60 and 1,232.47 is: 1,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.70 : 3,696.60 = 1,232.47 : x
  2. Step 2: Convert to fraction form
    2,465.70/3,696.60 = 1,232.47/x
  3. Step 3: Cross multiply
    2,465.70x = 3,696.60 × 1,232.47
  4. Step 4: Simplify right side
    2,465.70x = 4,555,948.60
  5. Step 5: Solve for x
    x = 4,555,948.60/2,465.70
  6. Step 6: Final answer
    x = 1,847.73

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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.