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Finding the Fourth Proportional to 3,071.78, 4,607.22 and 1,511.37

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Solution

The fourth proportional to 3,071.78, 4,607.22 and 1,511.37 is: 2,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.78 : 4,607.22 = 1,511.37 : x
  2. Step 2: Convert to fraction form
    3,071.78/4,607.22 = 1,511.37/x
  3. Step 3: Cross multiply
    3,071.78x = 4,607.22 × 1,511.37
  4. Step 4: Simplify right side
    3,071.78x = 6,963,214.09
  5. Step 5: Solve for x
    x = 6,963,214.09/3,071.78
  6. Step 6: Final answer
    x = 2,266.83

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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.