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Finding the Fourth Proportional to 2,463.58, 3,696.30 and 1,147.99

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Solution

The fourth proportional to 2,463.58, 3,696.30 and 1,147.99 is: 1,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.58 : 3,696.30 = 1,147.99 : x
  2. Step 2: Convert to fraction form
    2,463.58/3,696.30 = 1,147.99/x
  3. Step 3: Cross multiply
    2,463.58x = 3,696.30 × 1,147.99
  4. Step 4: Simplify right side
    2,463.58x = 4,243,315.44
  5. Step 5: Solve for x
    x = 4,243,315.44/2,463.58
  6. Step 6: Final answer
    x = 1,722.42

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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.