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Finding the Fourth Proportional to 2,247, 3,100.86 and 1,315.68

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Solution

The fourth proportional to 2,247, 3,100.86 and 1,315.68 is: 1,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247 : 3,100.86 = 1,315.68 : x
  2. Step 2: Convert to fraction form
    2,247/3,100.86 = 1,315.68/x
  3. Step 3: Cross multiply
    2,247x = 3,100.86 × 1,315.68
  4. Step 4: Simplify right side
    2,247x = 4,079,739.48
  5. Step 5: Solve for x
    x = 4,079,739.48/2,247
  6. Step 6: Final answer
    x = 1,815.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.