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Finding the Fourth Proportional to 3,511.80, 4,846.86 and 2,331

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Solution

The fourth proportional to 3,511.80, 4,846.86 and 2,331 is: 3,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.80 : 4,846.86 = 2,331 : x
  2. Step 2: Convert to fraction form
    3,511.80/4,846.86 = 2,331/x
  3. Step 3: Cross multiply
    3,511.80x = 4,846.86 × 2,331
  4. Step 4: Simplify right side
    3,511.80x = 11,298,030.66
  5. Step 5: Solve for x
    x = 11,298,030.66/3,511.80
  6. Step 6: Final answer
    x = 3,217.16

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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.