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Finding the Fourth Proportional to 3,121, 4,310.64 and 2,071.24

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Solution

The fourth proportional to 3,121, 4,310.64 and 2,071.24 is: 2,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121 : 4,310.64 = 2,071.24 : x
  2. Step 2: Convert to fraction form
    3,121/4,310.64 = 2,071.24/x
  3. Step 3: Cross multiply
    3,121x = 4,310.64 × 2,071.24
  4. Step 4: Simplify right side
    3,121x = 8,928,369.99
  5. Step 5: Solve for x
    x = 8,928,369.99/3,121
  6. Step 6: Final answer
    x = 2,860.74

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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.