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Finding the Fourth Proportional to 3,121.84, 4,679.28 and 1,390.24

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Solution

The fourth proportional to 3,121.84, 4,679.28 and 1,390.24 is: 2,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.84 : 4,679.28 = 1,390.24 : x
  2. Step 2: Convert to fraction form
    3,121.84/4,679.28 = 1,390.24/x
  3. Step 3: Cross multiply
    3,121.84x = 4,679.28 × 1,390.24
  4. Step 4: Simplify right side
    3,121.84x = 6,505,322.23
  5. Step 5: Solve for x
    x = 6,505,322.23/3,121.84
  6. Step 6: Final answer
    x = 2,083.81

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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.