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Finding the Fourth Proportional to 2,071.86, 2,861.64 and 1,511.43

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Solution

The fourth proportional to 2,071.86, 2,861.64 and 1,511.43 is: 2,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.86 : 2,861.64 = 1,511.43 : x
  2. Step 2: Convert to fraction form
    2,071.86/2,861.64 = 1,511.43/x
  3. Step 3: Cross multiply
    2,071.86x = 2,861.64 × 1,511.43
  4. Step 4: Simplify right side
    2,071.86x = 4,325,168.55
  5. Step 5: Solve for x
    x = 4,325,168.55/2,071.86
  6. Step 6: Final answer
    x = 2,087.58

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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.