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Finding the Fourth Proportional to 2,448.46, 3,674.94 and 2,102.86

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Solution

The fourth proportional to 2,448.46, 3,674.94 and 2,102.86 is: 3,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.46 : 3,674.94 = 2,102.86 : x
  2. Step 2: Convert to fraction form
    2,448.46/3,674.94 = 2,102.86/x
  3. Step 3: Cross multiply
    2,448.46x = 3,674.94 × 2,102.86
  4. Step 4: Simplify right side
    2,448.46x = 7,727,884.33
  5. Step 5: Solve for x
    x = 7,727,884.33/2,448.46
  6. Step 6: Final answer
    x = 3,156.22

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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.